Trig evaluation of angles
•Download as PPTX, PDF•
0 likes•114 views
This document discusses evaluating trigonometric functions from 0 to 2π radians. It explains how the sine, cosine, and tangent functions are positive or negative in each quadrant depending on their relationship as the angle measure increases from 0 to 2π radians. Examples of evaluating trigonometric functions for angles in various quadrants are provided.
Report
Share
Report
Share
Recommended
Day 12 cp-galileo's ramp
The physics teacher provides an overview of the class agenda which includes checking homework, discussing kinematic graphs and equations, and an upcoming quiz. Students are instructed to complete warm-up questions on acceleration graphs and complete their kinematic story assignment. The teacher outlines the homework which involves practicing kinematic equations and creating velocity-time graphs to solve motion problems.
5 4 congruent triangles
The document discusses the concept of corresponding parts of congruent triangles being congruent (CPCTC). It states that if two triangles are proven to be congruent, then their corresponding parts such as angles and sides are also congruent. Examples are provided to demonstrate how to use CPCTC to determine congruent angles and sides in different triangles. It emphasizes that triangles must first be proven congruent before CPCTC can be applied.
Tarea unidad 1 veronica garcía
The document is a physics assignment containing multiple questions regarding vectors, including determining whether statements about vectors are true or false, expressing vectors in different coordinate systems, calculating vector components, and using vector concepts to solve geometry problems about cities and mountains. The student is asked to provide solutions justifying their responses.
Tarea unidad 1
The document is a physics assignment containing multiple questions regarding vectors. It asks the student to determine the unit vectors of given vectors, express vectors in different coordinate systems, calculate vector components and magnitudes, analyze the relative positions of points that define a city boundary and mountain peaks, and determine the length of a cable for a teleferry between the mountain peaks. The student is expected to show their work and solutions.
Graphs
The document discusses various graph data structures and algorithms. It defines directed and undirected graphs, and methods for representing graphs using adjacency matrices and adjacency lists. It then explains algorithms for finding shortest paths, spanning trees, minimum spanning trees, and solving the traveling salesman problem in graphs.
4.2 p1.ppt worked
The document provides homework questions on right triangle trigonometry. It includes instructions to find all six trig functions for two right triangles, solve a triangle given side lengths, and find the height of a building using elevation. Additional practice problems are assigned from the textbook and Khan Academy on special right triangles.
Unit 4.2
The document discusses trigonometric functions of acute angles. It defines the six trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant) using a right triangle. Examples are provided to evaluate the functions of 45 and 60 degree angles. Common calculator errors in evaluating trig functions are also discussed. The document concludes with an example problem solving a right triangle given side lengths and one interior angle measure.
Grade 12 Unit1-L1-Kinematic Equations
This document provides an overview and review of kinematics concepts including:
1) Defining directions as positive or negative is important to avoid errors in kinematics problems.
2) Five fundamental kinematics equations are presented that assume constant or zero acceleration and deal with displacement, velocity, acceleration, and time.
3) An example problem is provided and instructions are given for homework practice problems to reinforce kinematics concepts.
Recommended
Day 12 cp-galileo's ramp
The physics teacher provides an overview of the class agenda which includes checking homework, discussing kinematic graphs and equations, and an upcoming quiz. Students are instructed to complete warm-up questions on acceleration graphs and complete their kinematic story assignment. The teacher outlines the homework which involves practicing kinematic equations and creating velocity-time graphs to solve motion problems.
5 4 congruent triangles
The document discusses the concept of corresponding parts of congruent triangles being congruent (CPCTC). It states that if two triangles are proven to be congruent, then their corresponding parts such as angles and sides are also congruent. Examples are provided to demonstrate how to use CPCTC to determine congruent angles and sides in different triangles. It emphasizes that triangles must first be proven congruent before CPCTC can be applied.
Tarea unidad 1 veronica garcía
The document is a physics assignment containing multiple questions regarding vectors, including determining whether statements about vectors are true or false, expressing vectors in different coordinate systems, calculating vector components, and using vector concepts to solve geometry problems about cities and mountains. The student is asked to provide solutions justifying their responses.
Tarea unidad 1
The document is a physics assignment containing multiple questions regarding vectors. It asks the student to determine the unit vectors of given vectors, express vectors in different coordinate systems, calculate vector components and magnitudes, analyze the relative positions of points that define a city boundary and mountain peaks, and determine the length of a cable for a teleferry between the mountain peaks. The student is expected to show their work and solutions.
Graphs
The document discusses various graph data structures and algorithms. It defines directed and undirected graphs, and methods for representing graphs using adjacency matrices and adjacency lists. It then explains algorithms for finding shortest paths, spanning trees, minimum spanning trees, and solving the traveling salesman problem in graphs.
4.2 p1.ppt worked
The document provides homework questions on right triangle trigonometry. It includes instructions to find all six trig functions for two right triangles, solve a triangle given side lengths, and find the height of a building using elevation. Additional practice problems are assigned from the textbook and Khan Academy on special right triangles.
Unit 4.2
The document discusses trigonometric functions of acute angles. It defines the six trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant) using a right triangle. Examples are provided to evaluate the functions of 45 and 60 degree angles. Common calculator errors in evaluating trig functions are also discussed. The document concludes with an example problem solving a right triangle given side lengths and one interior angle measure.
Grade 12 Unit1-L1-Kinematic Equations
This document provides an overview and review of kinematics concepts including:
1) Defining directions as positive or negative is important to avoid errors in kinematics problems.
2) Five fundamental kinematics equations are presented that assume constant or zero acceleration and deal with displacement, velocity, acceleration, and time.
3) An example problem is provided and instructions are given for homework practice problems to reinforce kinematics concepts.
MATEMATIK SEM 3 TRIGONOMETRI
This document contains information about trigonometry including definitions of sine, cosine, and tangent ratios using right triangles. It discusses the four quadrants and corresponding reference angles. Examples are provided to determine the values of trigonometric functions for angles in different quadrants using the appropriate reference angle. Practice problems involve finding trig values, identifying quadrants, and determining reference angles.
Trig cheat sheet
The document defines trigonometric functions using right triangles and the unit circle. It lists properties of the trig functions including domain, range, period, formulas, and identities. It also covers inverse trig functions, the laws of sines, cosines, and tangents, and the unit circle.
Trigonometry cheat sheet
The document defines trigonometric functions using right triangles and the unit circle. It provides formulas for domain, range, period, identities, inverses, and laws involving trig functions like the Law of Sines, Cosines, and Tangents. Key formulas include definitions of sine, cosine, tangent and their inverses, as well as the Pythagorean, double angle, and sum and difference identities.
Arihant NEET Objective Physics Volume 1 By DC Pandey 2022 Edition.pdf
This document provides information about trigonometric ratios and their properties. It defines trigonometric ratios like sine, cosine, and tangent in terms of the sides of a right triangle. It discusses measuring angles in degrees and radians. It also describes the values of trig ratios in different quadrants and for allied angles.
Trigonometry - Formula Sheet - MathonGo.pdf
This document discusses trigonometric ratios and identities. It begins by defining trigonometry as the science of measuring triangles. It then describes the three systems for measuring angles: sexagesimal (degrees-minutes-seconds), centesimal, and circular (radians). The document defines the six trigonometric ratios (sine, cosine, tangent, cotangent, secant, cosecant) and discusses their domains, ranges, and signs in different quadrants. It presents numerous trigonometric identities involving sums, differences, products and transformations between them. It also provides trigonometric ratios for some standard angles like 45°, 30°, 60° degrees.
Identities
This document provides information on trigonometric identities and formulas including:
- The six trigonometric functions and their definitions in terms of opposite, adjacent, and hypotenuse sides of a right triangle.
- Formulas for sums and differences of angles, double angle formulas, Pythagorean identities, and half angle formulas.
- The law of cosines, radian measure conversions, reduction formulas, and formulas involving complex numbers.
- A table of trigonometric values for common angles in degrees and radians.
- Expansions for trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions.
Plugin identities
This document provides definitions and formulas for trigonometric and hyperbolic functions including:
- The six trigonometric functions defined in terms of opposite, adjacent, and hypotenuse sides of a right triangle.
- Formulas for sums and differences of angles, double angle formulas, Pythagorean identities, and half angle formulas.
- The law of cosines, radian measure conversions, reduction formulas, and formulas for complex numbers involving trig functions.
- Tables of trigonometric values for common angles in degrees and radians.
- Series expansions for trig functions, hyperbolic functions defined in terms of exponentials, and series expansions for hyperbolic functions.
DEMO FOR UNACADEMY.pptx
This document outlines the course objectives and content for a trigonometry course. It will introduce students to what trigonometry is, trigonometric ratios and identities, and applications of trigonometry. Specifically, it will cover the sine, cosine, and tangent functions, trigonometric ratios, trigonometric values at common angles, basic trigonometric identities including reciprocal, Pythagorean, sum and difference, double angle, and product identities. It also provides an example of using trigonometry to calculate the height of a tower given the angle of elevation and distance from the tower. The target audience includes students in classes 10 through 12 and those preparing for entrance exams.
Law of sine and cosines
This document provides information on solving problems involving right triangles using trigonometry, including the Law of Sines and Law of Cosines. It includes examples of using trigonometry to solve problems involving angles of elevation/depression, finding areas and volumes, and determining distances. Tables of trigonometric function values are presented along with explanations of evaluating functions in different quadrants using reference angles. Proofs and examples are given for applying the Law of Sines and Law of Cosines to find missing sides and angles of triangles.
Higher Maths 1.2.3 - Trigonometric Functions
The document contains notes on trigonometric graphs and functions. It discusses the amplitude and period of trigonometric graphs, defines radians and relates them to degrees, provides exact values of trigonometric functions at common angles, explains the four quadrants used to measure angles, and gives examples of solving trigonometric equations both graphically and algebraically using properties of the quadrants.
M112rev
This document provides a review of exercises for a Math 112 final exam. It contains 31 multi-part exercises covering topics like graphing, logarithms, trigonometry, and word problems. The review is intended to help students practice problems similar to what may appear on the exam. The exam will have two parts, one allowing a calculator and one not.
MAT-108 Trigonometry Midterm Review
This document contains a 10 question review for a trigonometry midterm examination. It reviews concepts like using trigonometric functions to solve for unknown sides and angles of right triangles, evaluating trig functions for special angles, finding arc lengths and sector areas of circles, graphing trig functions involving amplitude, period and phase shift, and using trigonometric identities. The problems are worked out step-by-step showing the reasoning and math steps to arrive at the solutions, often leaving final answers in radical or pi form.
1. What do you call the acute angle formed by the terminal side o.docx
1. What do you call the acute angle formed by the terminal side of an angle θ in standard position and the horizontal axis?
complementarysupplementary coterminalquadrantreference
2. In which quadrants is sin θ positive? (Select all that apply.)
Quadrant IQuadrant IIQuadrant IIIQuadrant IV
3. For which of the quadrant angles 0, π/2, π, and 3π/2 is the cos function equal to 0? (Select all that apply.)
0π/2π3π/2
4. Is the value of cos 165° equal to the value of cos 15°?
YesNo
5. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
6. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
7. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
8. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(−80, 18)
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
9. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(–7, –8)
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=
10. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(5, −8)
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=
11. State the quadrant in which θ lies.
sec θ > 0 and cot θ < 0
III IIIIV
12. State the quadrant in which θ lies.
tan θ > 0 and csc θ < 0
III IIIIV
13. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value
Constraint
csc θ = 6
cot θ < 0
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
14. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value
Constraint
tan θ is undefined.
π ≤ θ ≤ 2π
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
15. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
sec π
16. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc 0
17. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc
3π
2
18. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc
7π
2
19. Find the reference angle θ' for the special angle θ.
θ = −295°
θ' = °
Sketch θ in standard position and label θ'.
20. Find the reference angle θ' for the special angle θ. (Round your answer to four decimal places.)
θ =
2π
3
θ' =
Sketch θ ...
Trig packet1 000
This document contains an assignment sheet for a trigonometry class. It includes 9 assignments covering topics like trig functions, angle formulas, identities, and solving trig equations. There are also 3 tests scheduled. Each assignment has multiple problems or parts to complete. The document also provides introductory information on trigonometry concepts like radians, the unit circle, and right triangle trigonometry. It includes examples and practice problems for students to work through.
Trig packet1 000
This document contains an assignment sheet for a trigonometry class. It includes 9 assignments covering topics like trig functions, angle formulas, trig identities, and solving trig equations. There are also 5 tests scheduled throughout the course. The assignments progress from introductory concepts like circle diagrams and function charts, to more advanced topics like trig identities and solving trig equations. Review sheets are assigned before each test.
Trigo Sheet Cheat :D
1) The document defines trigonometric functions using right triangles and the unit circle. It provides formulas for trig functions, inverse trig functions, and laws of sines, cosines, and tangents.
2) Tables give values of trig functions for angles on the unit circle, along with properties like domain, range, and periodicity.
3) The cheat sheet is a reference for definitions, formulas, and properties of trigonometric functions.
Leraning packet
This document discusses double-angle and half-angle trigonometric identities. It derives formulas for sin(2θ), cos(2θ), and tan(2θ) in terms of sin(θ) and cos(θ). It also derives formulas for sin(θ/2), cos(θ/2), and tan(θ/2) in terms of cos(θ). Several examples are provided to demonstrate applying these identities to simplify trigonometric expressions and solve problems.
AS LEVEL Trigonometry (CIE) EXPLAINED WITH EXAMPLE AND DIAGRAMS
This document discusses trigonometry concepts including terminology, trigonometric graphs, and using trigonometric functions. It introduces key terms like amplitude, wavelength, period, and transformations of trigonometric graphs by changing variables a, b, and d in the general equation y=a*sin(bx)+d. It also covers using trigonometric functions to find the values of sine, cosine, and tangent at special angles like 45, 60, 90 degrees. Finally, it discusses finding the reference angle and inverse of trigonometric relations.
Cmo sample-papers-for-class-8
CREST Maths Olympiad exam sample paper for class 8th. Sample papers are useful in understanding the question pattern of CMO Olympiad exam.
11 x1 t08 07 asinx + bcosx = c (2013)
The document presents a method for solving equations of the form asinx + bcosx = c. It involves making a substitution of tan(t/2) for tan(θ/2), which results in an equation in terms of t that can be solved for t. The solutions for t can then be used to find the corresponding solutions for θ. Several worked examples are shown.
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
An introduction to trigonometry for class XI. You will learn about radians and how to convert degrees to radians and vice versa. You will learn about negative angles and how to evaluate trigonometric angles in all the 4 quadrants.
Introduction to Continuity - Class 12 Maths- ISC-CBSE
You will be introduced to continuity at a point, left hand and right hand limits for continuity. A number of problems are illustrated. In case you want to learn more, feel free to contact me. A useful session for class12, CBSE and ISC
More Related Content
Similar to Trig evaluation of angles
MATEMATIK SEM 3 TRIGONOMETRI
This document contains information about trigonometry including definitions of sine, cosine, and tangent ratios using right triangles. It discusses the four quadrants and corresponding reference angles. Examples are provided to determine the values of trigonometric functions for angles in different quadrants using the appropriate reference angle. Practice problems involve finding trig values, identifying quadrants, and determining reference angles.
Trig cheat sheet
The document defines trigonometric functions using right triangles and the unit circle. It lists properties of the trig functions including domain, range, period, formulas, and identities. It also covers inverse trig functions, the laws of sines, cosines, and tangents, and the unit circle.
Trigonometry cheat sheet
The document defines trigonometric functions using right triangles and the unit circle. It provides formulas for domain, range, period, identities, inverses, and laws involving trig functions like the Law of Sines, Cosines, and Tangents. Key formulas include definitions of sine, cosine, tangent and their inverses, as well as the Pythagorean, double angle, and sum and difference identities.
Arihant NEET Objective Physics Volume 1 By DC Pandey 2022 Edition.pdf
This document provides information about trigonometric ratios and their properties. It defines trigonometric ratios like sine, cosine, and tangent in terms of the sides of a right triangle. It discusses measuring angles in degrees and radians. It also describes the values of trig ratios in different quadrants and for allied angles.
Trigonometry - Formula Sheet - MathonGo.pdf
This document discusses trigonometric ratios and identities. It begins by defining trigonometry as the science of measuring triangles. It then describes the three systems for measuring angles: sexagesimal (degrees-minutes-seconds), centesimal, and circular (radians). The document defines the six trigonometric ratios (sine, cosine, tangent, cotangent, secant, cosecant) and discusses their domains, ranges, and signs in different quadrants. It presents numerous trigonometric identities involving sums, differences, products and transformations between them. It also provides trigonometric ratios for some standard angles like 45°, 30°, 60° degrees.
Identities
This document provides information on trigonometric identities and formulas including:
- The six trigonometric functions and their definitions in terms of opposite, adjacent, and hypotenuse sides of a right triangle.
- Formulas for sums and differences of angles, double angle formulas, Pythagorean identities, and half angle formulas.
- The law of cosines, radian measure conversions, reduction formulas, and formulas involving complex numbers.
- A table of trigonometric values for common angles in degrees and radians.
- Expansions for trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions.
Plugin identities
This document provides definitions and formulas for trigonometric and hyperbolic functions including:
- The six trigonometric functions defined in terms of opposite, adjacent, and hypotenuse sides of a right triangle.
- Formulas for sums and differences of angles, double angle formulas, Pythagorean identities, and half angle formulas.
- The law of cosines, radian measure conversions, reduction formulas, and formulas for complex numbers involving trig functions.
- Tables of trigonometric values for common angles in degrees and radians.
- Series expansions for trig functions, hyperbolic functions defined in terms of exponentials, and series expansions for hyperbolic functions.
DEMO FOR UNACADEMY.pptx
This document outlines the course objectives and content for a trigonometry course. It will introduce students to what trigonometry is, trigonometric ratios and identities, and applications of trigonometry. Specifically, it will cover the sine, cosine, and tangent functions, trigonometric ratios, trigonometric values at common angles, basic trigonometric identities including reciprocal, Pythagorean, sum and difference, double angle, and product identities. It also provides an example of using trigonometry to calculate the height of a tower given the angle of elevation and distance from the tower. The target audience includes students in classes 10 through 12 and those preparing for entrance exams.
Law of sine and cosines
This document provides information on solving problems involving right triangles using trigonometry, including the Law of Sines and Law of Cosines. It includes examples of using trigonometry to solve problems involving angles of elevation/depression, finding areas and volumes, and determining distances. Tables of trigonometric function values are presented along with explanations of evaluating functions in different quadrants using reference angles. Proofs and examples are given for applying the Law of Sines and Law of Cosines to find missing sides and angles of triangles.
Higher Maths 1.2.3 - Trigonometric Functions
The document contains notes on trigonometric graphs and functions. It discusses the amplitude and period of trigonometric graphs, defines radians and relates them to degrees, provides exact values of trigonometric functions at common angles, explains the four quadrants used to measure angles, and gives examples of solving trigonometric equations both graphically and algebraically using properties of the quadrants.
M112rev
This document provides a review of exercises for a Math 112 final exam. It contains 31 multi-part exercises covering topics like graphing, logarithms, trigonometry, and word problems. The review is intended to help students practice problems similar to what may appear on the exam. The exam will have two parts, one allowing a calculator and one not.
MAT-108 Trigonometry Midterm Review
This document contains a 10 question review for a trigonometry midterm examination. It reviews concepts like using trigonometric functions to solve for unknown sides and angles of right triangles, evaluating trig functions for special angles, finding arc lengths and sector areas of circles, graphing trig functions involving amplitude, period and phase shift, and using trigonometric identities. The problems are worked out step-by-step showing the reasoning and math steps to arrive at the solutions, often leaving final answers in radical or pi form.
1. What do you call the acute angle formed by the terminal side o.docx
1. What do you call the acute angle formed by the terminal side of an angle θ in standard position and the horizontal axis?
complementarysupplementary coterminalquadrantreference
2. In which quadrants is sin θ positive? (Select all that apply.)
Quadrant IQuadrant IIQuadrant IIIQuadrant IV
3. For which of the quadrant angles 0, π/2, π, and 3π/2 is the cos function equal to 0? (Select all that apply.)
0π/2π3π/2
4. Is the value of cos 165° equal to the value of cos 15°?
YesNo
5. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
6. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
7. Determine the exact values of the six trigonometric functions of the angle θ.
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
8. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(−80, 18)
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
9. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(–7, –8)
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=
10. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(5, −8)
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=
11. State the quadrant in which θ lies.
sec θ > 0 and cot θ < 0
III IIIIV
12. State the quadrant in which θ lies.
tan θ > 0 and csc θ < 0
III IIIIV
13. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value
Constraint
csc θ = 6
cot θ < 0
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
14. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value
Constraint
tan θ is undefined.
π ≤ θ ≤ 2π
sin θ
=
cos θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=
15. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
sec π
16. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc 0
17. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc
3π
2
18. Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
csc
7π
2
19. Find the reference angle θ' for the special angle θ.
θ = −295°
θ' = °
Sketch θ in standard position and label θ'.
20. Find the reference angle θ' for the special angle θ. (Round your answer to four decimal places.)
θ =
2π
3
θ' =
Sketch θ ...
Trig packet1 000
This document contains an assignment sheet for a trigonometry class. It includes 9 assignments covering topics like trig functions, angle formulas, identities, and solving trig equations. There are also 3 tests scheduled. Each assignment has multiple problems or parts to complete. The document also provides introductory information on trigonometry concepts like radians, the unit circle, and right triangle trigonometry. It includes examples and practice problems for students to work through.
Trig packet1 000
This document contains an assignment sheet for a trigonometry class. It includes 9 assignments covering topics like trig functions, angle formulas, trig identities, and solving trig equations. There are also 5 tests scheduled throughout the course. The assignments progress from introductory concepts like circle diagrams and function charts, to more advanced topics like trig identities and solving trig equations. Review sheets are assigned before each test.
Trigo Sheet Cheat :D
1) The document defines trigonometric functions using right triangles and the unit circle. It provides formulas for trig functions, inverse trig functions, and laws of sines, cosines, and tangents.
2) Tables give values of trig functions for angles on the unit circle, along with properties like domain, range, and periodicity.
3) The cheat sheet is a reference for definitions, formulas, and properties of trigonometric functions.
Leraning packet
This document discusses double-angle and half-angle trigonometric identities. It derives formulas for sin(2θ), cos(2θ), and tan(2θ) in terms of sin(θ) and cos(θ). It also derives formulas for sin(θ/2), cos(θ/2), and tan(θ/2) in terms of cos(θ). Several examples are provided to demonstrate applying these identities to simplify trigonometric expressions and solve problems.
AS LEVEL Trigonometry (CIE) EXPLAINED WITH EXAMPLE AND DIAGRAMS
This document discusses trigonometry concepts including terminology, trigonometric graphs, and using trigonometric functions. It introduces key terms like amplitude, wavelength, period, and transformations of trigonometric graphs by changing variables a, b, and d in the general equation y=a*sin(bx)+d. It also covers using trigonometric functions to find the values of sine, cosine, and tangent at special angles like 45, 60, 90 degrees. Finally, it discusses finding the reference angle and inverse of trigonometric relations.
Cmo sample-papers-for-class-8
CREST Maths Olympiad exam sample paper for class 8th. Sample papers are useful in understanding the question pattern of CMO Olympiad exam.
11 x1 t08 07 asinx + bcosx = c (2013)
The document presents a method for solving equations of the form asinx + bcosx = c. It involves making a substitution of tan(t/2) for tan(θ/2), which results in an equation in terms of t that can be solved for t. The solutions for t can then be used to find the corresponding solutions for θ. Several worked examples are shown.
Similar to Trig evaluation of angles (20)
Arihant NEET Objective Physics Volume 1 By DC Pandey 2022 Edition.pdf
Arihant NEET Objective Physics Volume 1 By DC Pandey 2022 Edition.pdf
1. What do you call the acute angle formed by the terminal side o.docx
1. What do you call the acute angle formed by the terminal side o.docx
AS LEVEL Trigonometry (CIE) EXPLAINED WITH EXAMPLE AND DIAGRAMS
AS LEVEL Trigonometry (CIE) EXPLAINED WITH EXAMPLE AND DIAGRAMS
More from sumanmathews
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
An introduction to trigonometry for class XI. You will learn about radians and how to convert degrees to radians and vice versa. You will learn about negative angles and how to evaluate trigonometric angles in all the 4 quadrants.
Introduction to Continuity - Class 12 Maths- ISC-CBSE
You will be introduced to continuity at a point, left hand and right hand limits for continuity. A number of problems are illustrated. In case you want to learn more, feel free to contact me. A useful session for class12, CBSE and ISC
Secrets of solving a PDE-College math
An exclusive way to understand PDE. Presenting a course on PDE, which covers an introduction to PDE, certain notations. You will learn about homogeneous PDE and non homogenous PDE. You are taught how to solve a homogenous and non homogeneous PDE.All the important formulas and tips are put together in a single session for your benefit. The course concludes with an assignment.
For more details on the course, visit my page
https://www.mathmadeeasy.co/about-2
Shares and dividend -Part 2-Class 10 math
The document discusses three problems related to shares and dividends. The first problem asks which investment is better: 10% dividend on Rs. 100 shares priced at Rs. 120, or 8% dividend on Rs. 100 shares priced at Rs. 72. The second problem involves calculating the change in annual income for a man who sold Rs. 10 shares paying 12% dividend and reinvested the proceeds. The third problem asks to calculate the share price at which a man must have bought shares for him to receive a 10% dividend when the company declared an 8% dividend. The document encourages practicing each problem to learn.
Shares and dividend _Class 10 mathematics_ICSE
Do you need help in understanding shares ? Here, you will learn a basic overview of shares and dividends. A few problems are also illustrated.
Useful for Class 10 maths ICSE .
Prefix codes in graph theory-College math
Are you a student of Discrete maths and needed help in understanding prefix codes? This is just what could hep!
Here, you will learn what are prefix codes and how to apply them in constructing a binary tree. This is part of my course on "Optimal Prefix codes in Discrete mathematics". For more details, visit my page
https://www.mathmadeeasy.co/about-2
Don't miss out!
Trigonometry formulas for class 11
Do you need help in remembering formulas of Trigonometry? This could help you! Starting with how to convert degrees to radians and vice versa, you have formulas on how to calculate the arc length, aree of a sector of a circle, domain and range of trigonometric functions, evaluating trigonometric functions in the 4 quadrant angles, compound angles and their sum/ difference. The entire course is available at a reasonable price. Contact me for further details.
Formulas for system of equations matrix form
This is a collection of all formulas in my course " Matrix methods of solving equations".
There are formulae for finding the echelon form of a matrix and converting a matrix to its normal form.
Gauss Elimination method and Gauss Jordan method
Gauss Seidel iterative method
Finding inverse of a matrix using adjoint.
Useful for College Mathematics.
Reducing matrices to normal form: College math
This is the first session on my course Matrix methods . Here , you will learn various methods to convert a matrix to its echelon form and normal form. Given a matrix A, you will learn how to find non singular matrices P and Q such that PAQ is normal. A useful topic in college maths. The full course includes Guass Elimination method, Gauss Jordan method, Gauss Seidel method and finding the inverse of a matrix using adjoint. You can contact me for further details.
Relations and functions class 12 formulas
You get a complete list of all formulas needed for Class 12 maths Relations and Functions here. The entire course on Sets, Relations and Functions is available for sale.
Formulas of Probability :Class 12 maths
I present to you all the formulae of probability needed for classes 11 and 12, ISC, CBSE curriculum. These are covered in my course "Probability for class 12: questions with solutions.".
The entire course is available for Rs 1099 only.
Permutations formula for Class 11 maths
Here are a complete set of all the formulae that you need to know for Class 11 maths CBSE or ISC. A complete course on Class 11 Permutations and Combinations is available for
Rs 599 only. Discount of 10 % is there for a limited period.
Basic Concepts of Probability
This presentation covers a basic explanation of Probability and its concepts. It is useful for students of class 11 Mathematics and students preparing for the GRE QUANT and SAT exams.
For a comprehensive detailed course on Probability which involves independent events, mutually exclusive events. Multiplication theorem and much more, you can refer to my course on Udemy, namely
https://www.udemy.com/course/permutations-and-combinations-class-11-mathematics/?referralCode=8E0DCAB1DC56F4BC9B47
Permutations of distinct objects
Welcome to my course on Permutations and Combinations.I have a teaching experience of over 2 decades both at the high school level and undergraduate level.
The topic " Permutations and Combinations " have intrigued many students. This is because each problem is different. There is no one magic formula which applies to all problems. Permutations and Combinations is an important topic used extensively in Probability, also useful for the GRE QUANT and GMAT QUANT section. This course is divided into
I. introduction to Permutations
2. Permutations when all objects are not different
3.Circular Permutations
4. Combinations
5. Mixed problems on Combinations.
As a foreword, students taking this course are requested to practice the problems along with me. As an additional practice, you can practice the project. Feel free to contact me for any further help.
For the complete course on skillshare, use the link
https://skl.sh/2MwM93C
Newton's law of cooling and LR circuits/Engineering Maths
Here, we discuss problems on Newton’s Law of Cooling and LR circuits. We derive Newton’s law and the linear differential equation for Kirchoff’s law. This video is tailored specifically for students preparing for Engineering Mathematics, 1st semester, VTU syllabus. Questions from the previous year’s papers are explained in detail with solutions.
For more videos, subscribe to my channel
http://lnnk.in/@mathmadeeasy22
You can also visit my page
https://www.mathmadeeasy.co/lessons-1
for more videos.
Introducing videos on demand! Custom made videos on any math topic of your choice from classes 11 to the graduate level. Just drop a mail for your individual requirements.
Trigonometric functions of sums and differences/ class 11 maths
This document discusses trigonometric functions of sums and differences. It explains how to apply problems involving trigonometric functions of sums and differences, covering the basic sine, cosine, and tangent functions. The document also demonstrates how to convert between trigonometric sums or differences and products. A series of practice questions are provided to illustrate these concepts.
Engineering maths/Exact Differential equations
This video is helpful for Engineering maths students. Here, we discuss what are exact differential equations and learn various means and methods to solve them. 3 types of methods are well illustrated here.
Consider subscribing to this channel for more videos.
http://lnnk.in/@mathmadeeasy22
You can also visit my page
https://www.mathmadeeasy.co/lessons-1
You can subscribe to my playlist
http://lnnk.in/@engineering-maths-1
Feel free to contact me for any further help
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
This is designed for students preparing for the GRE QUANT section. It explains problems on mixtures and solutions . A helpful technique is illustrated wherein we divide the problems into 2 types. In one type, 2 solutions are mixed and the other type deals with only one solution. Problems are illustrated in a step by step method.
For more videos, consider subscribing to my channel .
Visit my page https://www.mathmadeeasy.co/about-1
Visit my playlist on GRE QUANT http://lnnk.in/@gre-quant
APPROXIMATIONS IN DERIVATIVES
This is a useful topic for class 12 maths students and NATA maths students.
What are approximations?
Here, we use the concept of differential to find the approximate value of a function. We can find the values easily with a calculator as well! If y = f(x), we learn the differential of y, and learn the formulae used to calculate the approximate values of y. This video is application oriented. It focuses on solving problems based on the formula. We also learn about absolute error, approximate error and %error. As a teacher, I have found students getting confused about approximate error and actual value of the function.i have explained the difference in the video. So, watch this video to understand approximations.
This video is useful for Class 12 Maths students , ISC MATHS, CBSE MATHS and other boards.It is also useful for the NATA (maths) aptitude test for architecture
Consider subscribing to my channel for more videos.
Visit my page https://www.mathmadeeasy.co/about
Subscribe to my playlist
https://www.youtube.com/playlist?list=PL26R7TjUyi8zDE3-OcadJuTKlXApnFJG6
For further help, you can enrol for my masterclass on Applications of Derivatives which involves derivative as a rate measure, approximations, tangent and normal, increasing and decreasing functions, maxima and minima problems. Students tend to find this topic difficult.
TYPES OF PARABOLA
This presentation explains the 4 basic types of parabolas. It also shows how the focus, vertex, equation of the axis and directrix can be determined in each case. It also explains how the values change when the origin is shifted.
This is useful for grade eleven maths students.
This channel has videos for grades 11, 12, engineering mathematics and the NATA eligibility test for architecture. Consider subscribing to my channel for more videos.
You can visit my page
https://www.mathmadeeasy.co/lessons
for more videos.
You can enroll for my classes for grade 11 mathematics, for further help, if needed.
More from sumanmathews (20)
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Introduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSE
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Trigonometric functions of sums and differences/ class 11 maths
Trigonometric functions of sums and differences/ class 11 maths
Recently uploaded
Temple of Asclepius in Thrace. Excavation results
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
skeleton System.pdf (skeleton system wow)
🔥🔥🔥🔥🔥🔥🔥🔥🔥
إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
💀💀💀💀💀💀💀💀💀💀
تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
🔥🔥🔥🔥🔥🔥🔥🔥🔥
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
Practical manual for National Examination Council, Nigeria.
Contains guides on answering questions on the specimens provided
Gender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
Physical pharmaceutics notes for B.pharm students
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
How Barcodes Can Be Leveraged Within Odoo 17
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as discipline
Recently uploaded (20)
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Trig evaluation of angles
- 1. EVALUATING TRIGONOMETRIC FUNCTIONS FROM 0 TO 2π math videos www.mathews.co.in
- 2. 0 π/2 π 3π/2 A S T C 90 degrees 180 degrees 270 degrees 360 degrees 2π Measure anticlockwise math videos www.mathews.co.in ALL STUDENTS TAKE COFFEE
- 3. In which quadrant does x lie if sinx = 4/5, cosx = -3/5 II quadrant On the vertical axis , cossin cottan eccossec math videos www.mathews.co.in
- 4. A S T C cos) 2 sin( Ist quadrant cot) 2 tan( eccos) 2 sec( π/2 math videos www.mathews.co.in
- 5. cos) 2 sin( II Quadrant S sin) 2 cos( cot) 2 tan( π/2 math videos www.mathews.co.in
- 6. T III quadrant cos) 2 3 sin( sin) 2 3 cos( cot) 2 3 tan( 3π/2 math videos www.mathews.co.in
- 7. C IV th quadrant cos) 2 3 sin( sin) 2 3 cos( cot) 2 3 tan( 3π/2 math videos www.mathews.co.in
- 8. On the horizontal axis , S sin)sin( 2nd quadrant cos)cos( tan)tan( π tantancos,cossin,sin math videos www.mathews.co.in
- 9. 3rd quadrant T sin)sin( cos)cos( tan)tan( π math videos www.mathews.co.in
- 10. C 4TH QUADRANT sin)2sin( 2π cos)2cos( tan)2tan( math videos www.mathews.co.in
- 11. 2π A 1ST QUADRANT sin)2sin( cos)2cos( tan)2tan( math videos www.mathews.co.in
- 12. Evaluate ) 3 17 sin( 1020 180 3 17 0 360 720 1080 990 1020sin)1020sin( 2 3 60sin)601080sin( sin)sin( math videos www.mathews.co.in
- 13. 00000 330sec300cot240tan210cos135sin2 AS T C 2 1 45sin)45180sin()135sin( 0 0 2 3 30cos)30180cos()210cos( 00 math videos www.mathews.co.in Evaluate
- 14. AS T C 330cot)30270tan()240tan( 00 3 1 60cot)60360cot()300cot( 00 math videos www.mathews.co.in
- 15. 1) 3 2 )( 3 1 (3) 2 3 ( 2 1 2 3 2 30sec)30360sec()330sec( 00 ***************************** math videos www.mathews.co.in