SUEC 高中 Adv Maths (Trigo Equation) (Part 2)
•Download as PPTX, PDF•
0 likes•12 views
Sources: Visual - various maths sites (credits to original creator) Questions - Dong Zong's Textbook suitable for SUEC (Maths), SPM (Maths and Add Maths) too
Report
Share
Report
Share
Recommended
SUEC 高中 Adv Maths (Trigo Equation) (Part 1)
This document contains information about sine graphs including:
- Common x-values that produce sin(x) including 0, 30, 45, 60, 90, 120, 135, 157.5, 180, 225, 240, and 360 degrees.
- General formulas for sin(x) including nπ + -1 n, nπ + -1 n 45° - 45°, and nπ + -1 n -π/3.
- Additional formulas including 2nπ ± 2π/9, x|x = nπ + π/6 ∪ x|x = nπ - π/2, and n ∙ 720 ° - 300 °.
SUEC 高中 Adv Maths (Trigo Equation) (Part 3)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Trigo Equation) (Part 4)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Sin and Cos Rule)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Trigo Function Part 3)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Degree-Radian, Arc length)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
07.mdsd_modelado_termicos_liquidos
This document discusses heat transfer concepts and equations. It defines key terms like heat flux (Q), temperature (T), thermal resistance (RTH), and thermal capacitance (CTH). It presents equations for one-dimensional heat conduction through a wall or slab using these variables. The equations relate the rate of heat transfer to the temperature difference and thermal resistance. Additional equations scale these concepts to model heat transfer in systems with multiple lumped-capacity elements connected in series.
Signs of trigonometric ratios
1) The document discusses trigonometric ratios (sine, cosine, tangent) as they relate to a point P on the circumference of a circle with center O and radius r.
2) It explains that the sign of each ratio depends on the quadrant that the angle θ falls within, with all ratios being positive in quadrant I, sine and cosecant positive in quadrant II, and so on.
3) A table is provided summarizing the sign of each ratio based on the values of x and y for point P in each quadrant.
Recommended
SUEC 高中 Adv Maths (Trigo Equation) (Part 1)
This document contains information about sine graphs including:
- Common x-values that produce sin(x) including 0, 30, 45, 60, 90, 120, 135, 157.5, 180, 225, 240, and 360 degrees.
- General formulas for sin(x) including nπ + -1 n, nπ + -1 n 45° - 45°, and nπ + -1 n -π/3.
- Additional formulas including 2nπ ± 2π/9, x|x = nπ + π/6 ∪ x|x = nπ - π/2, and n ∙ 720 ° - 300 °.
SUEC 高中 Adv Maths (Trigo Equation) (Part 3)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Trigo Equation) (Part 4)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Sin and Cos Rule)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Trigo Function Part 3)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Degree-Radian, Arc length)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
07.mdsd_modelado_termicos_liquidos
This document discusses heat transfer concepts and equations. It defines key terms like heat flux (Q), temperature (T), thermal resistance (RTH), and thermal capacitance (CTH). It presents equations for one-dimensional heat conduction through a wall or slab using these variables. The equations relate the rate of heat transfer to the temperature difference and thermal resistance. Additional equations scale these concepts to model heat transfer in systems with multiple lumped-capacity elements connected in series.
Signs of trigonometric ratios
1) The document discusses trigonometric ratios (sine, cosine, tangent) as they relate to a point P on the circumference of a circle with center O and radius r.
2) It explains that the sign of each ratio depends on the quadrant that the angle θ falls within, with all ratios being positive in quadrant I, sine and cosecant positive in quadrant II, and so on.
3) A table is provided summarizing the sign of each ratio based on the values of x and y for point P in each quadrant.
SUEC 高中 Adv Maths (Trigo Function Part 1)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
04.mdsd_laplace_fourier
The document contains mathematical definitions and properties of various signals and transforms. It defines signals like the unit step function u(t), ramp function ramp(t), Dirac delta function δ(t), exponential signals with complex exponents, and the sign function sgn(t). It also defines their discrete-time counterparts and periodic properties. Key transforms discussed include the Fourier transform F(ω), inverse Fourier transform F-1(ω), and Laplace transform L(s).
SUEC 高中 Adv Maths (Irrational Part 3)
The document contains examples of rationalizing denominators by multiplying the irrational terms by their rationalizing factors to obtain rational numbers. It also contains examples of simplifying surd expressions using factoring and the properties of surds. Examples include rationalizing √3/3 and √5/5, as well as simplifying expressions like (√3 + √5)/(√3 - √5) and (x + y + 2xy)/(x - y). The document provides step-by-step workings for solving quadratic equations with surd terms and irrational equations.
Trigonometri
This document provides information about trigonometry including:
1) Conversions between degrees and radians, definitions of sine, cosine, and tangent, and trigonometric ratios.
2) Values of trigonometric functions for special angles like 0°, 30°, 45°, 60°, 90°.
3) Relations between trigonometric functions of complementary, coterminal, and reference angles.
4) Formulas for sum and difference of trigonometric functions.
5) Graphs of sine, cosine, and tangent functions.
SUEC 高中 Adv Maths (Quadratic Graph)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Irrational Part 1)
The document contains mathematical expressions and equations across multiple pages. Key elements include:
1. Expressions involving variables like x, y, a, b in forms such as x2, y3, a2b, etc.
2. Equations setting two mathematical expressions equal to each other, such as a2 - 1 = a2 - 1.
3. Operations involving exponents and roots applied to variables, like an, bn, x1/2, etc.
Vectors and Scalars
Vectors indicate both an amount and direction, while scalars only indicate an amount. In physics, vectors are used to describe motion, forces, and other quantities that have both magnitude and direction. Key vector quantities include displacement, which measures the straight-line distance between starting and ending points, and velocity, which includes both speed and direction of motion.
SUEC 高中 Adv Maths (Irrational Part 2)
The document contains mathematical expressions and equations with variables like x, y, a, b. It explores properties of expressions involving exponents, like an, bn, anb. Several expressions are set equal to each other and multiplied out. Pages reference different steps in the working.
Lesson 2: Vectors
This document discusses scalar and vector quantities. Scalars have magnitude but no direction, and include things like temperature, mass, and time. Vectors have both magnitude and direction, such as force, velocity, and electric field. There are two methods for adding vectors: the head-to-tail method involves drawing vectors end to end to form a polygon, and the component method breaks vectors into their x and y components, which are added separately to find the resultant vector. Both methods produce the same final summed vector.
4.9 polynomial cam
This document discusses the 3-4-5 polynomial cam, which uses five coefficients (C0, C1, C2, C3, C4, C5) to define the cam profile as a fifth-order polynomial equation relating displacement x to angular displacement θ. It derives the boundary conditions for x, velocity v, and acceleration a at θ = 0 and θ = β. By solving the simultaneous equations from the boundary conditions, it determines the values of the coefficients to be C3 = 10h, C4 = -15h, C5 = 6h, resulting in equations for x, v, and a as fifth-order polynomial functions of θ/β.
석사학위 논문 본심 PPT 예제
The document discusses time series analysis and modeling. It presents equations for decomposing a time series into trend, seasonal, cyclical, and irregular components. It also discusses calculating the correlation between variables in a time series and performing a hypothesis test to determine if the means of multiple time series are equal. Additionally, it shows equations for an autoregressive model and a multivariate linear regression model used in time series forecasting.
Convert meters centimeters_004
The document provides examples of converting between meters and centimeters. There are 10 problems presented that convert values such as 1.26 meters to 126 centimeters, 98 centimeters to 0.98 meters, and 4.05 meters to 405 centimeters. The conversions are done by using the relationships 1 meter = 100 centimeters and 1 centimeter = 0.01 meters.
Rasio trigonometri pada segitiga siku siku
Materi ini berisi tentang rasio trigonometri sudut-sudut istimewa pada segitiga siku-siku beserta contoh soalnya.. untuk lebih jelasnya asal mula rasio trigonometri sudut-sudut istimewa, silahkan simak penjelasannya pada video dengan link https://youtu.be/vNjuNPPJD-s
08.mdsd_funcion_de_transferencia
The document discusses linear time-invariant systems and their representations using differential equations and Laplace transforms. It provides equations for the Laplace transform of derivatives and inverse Laplace transforms. It also presents the differential equation and transfer function for a second-order RLC circuit system. The transfer function is expressed as a ratio of the output and input Laplace transforms, equal to 1 divided by the characteristic equation containing coefficients for the inductor, resistor and capacitor components.
05.mdsd_modelado_mecanico_electrico
This document contains equations and diagrams related to modeling physical systems with elements like mass, springs, dampers, gears, moments of inertia, and electrical components like resistors, inductors, and capacitors. The key equations presented are:
1) Newton's second law for modeling systems with mass (f=ma) and systems with moments of inertia (τ=Jθ̈).
2) Kirchhoff's laws for analyzing electrical circuits - Kirchhoff's voltage law and Kirchhoff's current law.
3) Circuit element equations - Ohm's law (v=Ri), inductance law (v=Ldi/dt), and capacitance law (v=Q/C).
4.6 cycloidal motion
This document provides a 22 step graphical method for drawing a cycloidal cam profile. It involves dividing the cam angle into sections for the outstroke, dwell after outstroke, return stroke, and dwell after return stroke. Circles are drawn using the stroke length to determine the radius, and divided into equal parts. Parallel lines are drawn to connect the circle divisions to angular divisions on the cam base circle, and curves are drawn through the connected points to generate the cycloidal cam profile for the outstroke and return stroke sections.
Vektore 11 e
Vector quantities have both magnitude and direction, while scalar quantities only have magnitude. Examples of vectors include force, velocity, and displacement, while scalars include speed, distance, and mass. Vectors can be added using trigonometry and the parallelogram law to find the resultant vector, which represents the combined effect of all the individual vectors. Documents provide examples of calculating the magnitude and direction of resultant forces and displacements by resolving and drawing vectors to scale.
Graphing absolute value
This document discusses how to graph absolute value functions. It explains that the parent function y=|x| has a vertex at (0,0) and a domain of all real numbers with a range of values greater than or equal to zero. It also describes how to graph horizontal and vertical shifts of absolute value functions by looking for shift values h and k in equations of the form y=|x+h| and y=|x|+k. An example of each type of shift is provided. The document concludes by noting that including a negative leading coefficient reflects the graph vertically.
4.5 UNIORM ACCELERATION AND RETARDATION
This document provides steps for graphically determining uniform acceleration and retardation of a cam and follower mechanism. It involves:
1. Drawing a horizontal line representing the cam angle and a vertical line for the follower stroke.
2. Dividing the horizontal line into sections for the outstroke, dwell after outstroke, return stroke, and dwell after return stroke.
3. Dividing the outstroke and return stroke sections into equal parts and drawing lines to determine the follower motion.
4. Joining points with diagonal and curved lines to obtain the acceleration and retardation profile of the follower throughout the cam rotation.
STOM paper pass
The document describes 4 motions with varying acceleration. Motion 1 slows down in the positive direction starting from rest. Motion 2 slows down in the negative direction. Motion 3 is the same as Motion 1. Motion 4 slows down in the negative direction, stops, and then speeds up in the positive direction with the same acceleration.
SPM BM K1 Bahagian A (Contoh Surat Aduan).pptx
Penduduk Taman Cengal membuat aduan tentang masalah kutipan sampah yang tidak berjadual dan tidak sempurna, menyebabkan timbunan sampah dan bau. Mereka meminta pihak berkuasa tempatan menguruskan kutipan sampah secara berjadual dan memberi maklum balas.
SUEC 高中 Adv Maths (Probability) (Part 1).pptx
The document discusses random phenomena and probability. It defines a random phenomenon as one where individual outcomes are uncertain. It provides examples of sample spaces and sample points for events like goals in a game or coin flips. It also includes examples of calculating probabilities of certain outcomes occurring based on the sample space and equally likely outcomes, such as the probability of getting 3 heads in a row or having at least 1 head.
More Related Content
What's hot
SUEC 高中 Adv Maths (Trigo Function Part 1)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
04.mdsd_laplace_fourier
The document contains mathematical definitions and properties of various signals and transforms. It defines signals like the unit step function u(t), ramp function ramp(t), Dirac delta function δ(t), exponential signals with complex exponents, and the sign function sgn(t). It also defines their discrete-time counterparts and periodic properties. Key transforms discussed include the Fourier transform F(ω), inverse Fourier transform F-1(ω), and Laplace transform L(s).
SUEC 高中 Adv Maths (Irrational Part 3)
The document contains examples of rationalizing denominators by multiplying the irrational terms by their rationalizing factors to obtain rational numbers. It also contains examples of simplifying surd expressions using factoring and the properties of surds. Examples include rationalizing √3/3 and √5/5, as well as simplifying expressions like (√3 + √5)/(√3 - √5) and (x + y + 2xy)/(x - y). The document provides step-by-step workings for solving quadratic equations with surd terms and irrational equations.
Trigonometri
This document provides information about trigonometry including:
1) Conversions between degrees and radians, definitions of sine, cosine, and tangent, and trigonometric ratios.
2) Values of trigonometric functions for special angles like 0°, 30°, 45°, 60°, 90°.
3) Relations between trigonometric functions of complementary, coterminal, and reference angles.
4) Formulas for sum and difference of trigonometric functions.
5) Graphs of sine, cosine, and tangent functions.
SUEC 高中 Adv Maths (Quadratic Graph)
Sources:
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Irrational Part 1)
The document contains mathematical expressions and equations across multiple pages. Key elements include:
1. Expressions involving variables like x, y, a, b in forms such as x2, y3, a2b, etc.
2. Equations setting two mathematical expressions equal to each other, such as a2 - 1 = a2 - 1.
3. Operations involving exponents and roots applied to variables, like an, bn, x1/2, etc.
Vectors and Scalars
Vectors indicate both an amount and direction, while scalars only indicate an amount. In physics, vectors are used to describe motion, forces, and other quantities that have both magnitude and direction. Key vector quantities include displacement, which measures the straight-line distance between starting and ending points, and velocity, which includes both speed and direction of motion.
SUEC 高中 Adv Maths (Irrational Part 2)
The document contains mathematical expressions and equations with variables like x, y, a, b. It explores properties of expressions involving exponents, like an, bn, anb. Several expressions are set equal to each other and multiplied out. Pages reference different steps in the working.
Lesson 2: Vectors
This document discusses scalar and vector quantities. Scalars have magnitude but no direction, and include things like temperature, mass, and time. Vectors have both magnitude and direction, such as force, velocity, and electric field. There are two methods for adding vectors: the head-to-tail method involves drawing vectors end to end to form a polygon, and the component method breaks vectors into their x and y components, which are added separately to find the resultant vector. Both methods produce the same final summed vector.
4.9 polynomial cam
This document discusses the 3-4-5 polynomial cam, which uses five coefficients (C0, C1, C2, C3, C4, C5) to define the cam profile as a fifth-order polynomial equation relating displacement x to angular displacement θ. It derives the boundary conditions for x, velocity v, and acceleration a at θ = 0 and θ = β. By solving the simultaneous equations from the boundary conditions, it determines the values of the coefficients to be C3 = 10h, C4 = -15h, C5 = 6h, resulting in equations for x, v, and a as fifth-order polynomial functions of θ/β.
석사학위 논문 본심 PPT 예제
The document discusses time series analysis and modeling. It presents equations for decomposing a time series into trend, seasonal, cyclical, and irregular components. It also discusses calculating the correlation between variables in a time series and performing a hypothesis test to determine if the means of multiple time series are equal. Additionally, it shows equations for an autoregressive model and a multivariate linear regression model used in time series forecasting.
Convert meters centimeters_004
The document provides examples of converting between meters and centimeters. There are 10 problems presented that convert values such as 1.26 meters to 126 centimeters, 98 centimeters to 0.98 meters, and 4.05 meters to 405 centimeters. The conversions are done by using the relationships 1 meter = 100 centimeters and 1 centimeter = 0.01 meters.
Rasio trigonometri pada segitiga siku siku
Materi ini berisi tentang rasio trigonometri sudut-sudut istimewa pada segitiga siku-siku beserta contoh soalnya.. untuk lebih jelasnya asal mula rasio trigonometri sudut-sudut istimewa, silahkan simak penjelasannya pada video dengan link https://youtu.be/vNjuNPPJD-s
08.mdsd_funcion_de_transferencia
The document discusses linear time-invariant systems and their representations using differential equations and Laplace transforms. It provides equations for the Laplace transform of derivatives and inverse Laplace transforms. It also presents the differential equation and transfer function for a second-order RLC circuit system. The transfer function is expressed as a ratio of the output and input Laplace transforms, equal to 1 divided by the characteristic equation containing coefficients for the inductor, resistor and capacitor components.
05.mdsd_modelado_mecanico_electrico
This document contains equations and diagrams related to modeling physical systems with elements like mass, springs, dampers, gears, moments of inertia, and electrical components like resistors, inductors, and capacitors. The key equations presented are:
1) Newton's second law for modeling systems with mass (f=ma) and systems with moments of inertia (τ=Jθ̈).
2) Kirchhoff's laws for analyzing electrical circuits - Kirchhoff's voltage law and Kirchhoff's current law.
3) Circuit element equations - Ohm's law (v=Ri), inductance law (v=Ldi/dt), and capacitance law (v=Q/C).
4.6 cycloidal motion
This document provides a 22 step graphical method for drawing a cycloidal cam profile. It involves dividing the cam angle into sections for the outstroke, dwell after outstroke, return stroke, and dwell after return stroke. Circles are drawn using the stroke length to determine the radius, and divided into equal parts. Parallel lines are drawn to connect the circle divisions to angular divisions on the cam base circle, and curves are drawn through the connected points to generate the cycloidal cam profile for the outstroke and return stroke sections.
Vektore 11 e
Vector quantities have both magnitude and direction, while scalar quantities only have magnitude. Examples of vectors include force, velocity, and displacement, while scalars include speed, distance, and mass. Vectors can be added using trigonometry and the parallelogram law to find the resultant vector, which represents the combined effect of all the individual vectors. Documents provide examples of calculating the magnitude and direction of resultant forces and displacements by resolving and drawing vectors to scale.
Graphing absolute value
This document discusses how to graph absolute value functions. It explains that the parent function y=|x| has a vertex at (0,0) and a domain of all real numbers with a range of values greater than or equal to zero. It also describes how to graph horizontal and vertical shifts of absolute value functions by looking for shift values h and k in equations of the form y=|x+h| and y=|x|+k. An example of each type of shift is provided. The document concludes by noting that including a negative leading coefficient reflects the graph vertically.
4.5 UNIORM ACCELERATION AND RETARDATION
This document provides steps for graphically determining uniform acceleration and retardation of a cam and follower mechanism. It involves:
1. Drawing a horizontal line representing the cam angle and a vertical line for the follower stroke.
2. Dividing the horizontal line into sections for the outstroke, dwell after outstroke, return stroke, and dwell after return stroke.
3. Dividing the outstroke and return stroke sections into equal parts and drawing lines to determine the follower motion.
4. Joining points with diagonal and curved lines to obtain the acceleration and retardation profile of the follower throughout the cam rotation.
STOM paper pass
The document describes 4 motions with varying acceleration. Motion 1 slows down in the positive direction starting from rest. Motion 2 slows down in the negative direction. Motion 3 is the same as Motion 1. Motion 4 slows down in the negative direction, stops, and then speeds up in the positive direction with the same acceleration.
What's hot (20)
More from tungwc
SPM BM K1 Bahagian A (Contoh Surat Aduan).pptx
Penduduk Taman Cengal membuat aduan tentang masalah kutipan sampah yang tidak berjadual dan tidak sempurna, menyebabkan timbunan sampah dan bau. Mereka meminta pihak berkuasa tempatan menguruskan kutipan sampah secara berjadual dan memberi maklum balas.
SUEC 高中 Adv Maths (Probability) (Part 1).pptx
The document discusses random phenomena and probability. It defines a random phenomenon as one where individual outcomes are uncertain. It provides examples of sample spaces and sample points for events like goals in a game or coin flips. It also includes examples of calculating probabilities of certain outcomes occurring based on the sample space and equally likely outcomes, such as the probability of getting 3 heads in a row or having at least 1 head.
SUEC 高中 Adv Maths (Index Number).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths & Add Maths) too
SUEC 高中 Adv Maths (Statistic).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths & Add Maths) too
SUEC 高中 Adv Maths Revision (Earth as Sphere, Locus, Permutation, Combination,...
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
SUEC 高中 Adv Maths (Binominial)
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths) too
SUEC 高中 Adv Maths (Combination).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Add Maths) too
SUEC 高中 Adv Maths (Permutation) (Part 1).pptx
1. There are 6 math books and 5 language books on different shelves. The number of ways to choose 1 of each is 6 × 5 = 30.
2. There are 5 colors of tops and 4 colors of skirts. The total number of dress combinations is 5 × 4 = 20. There are 3 styles of shoes, so the total number of styles is 3.
3. The number of 3-digit numbers that can be formed without repeating digits is 100 × 99 × 98 = 9,702. The number of ways for 2 boys to sit in 5 chairs is 5 × 4 = 20.
SUEC 高中 Adv Maths (Locus) (Part 2).pptx
(1) The document discusses finding equations of tangent lines to circles and the intersections of those tangent lines. It provides examples of finding the slopes and equations of tangent lines given the circle's center and a point on the circle.
(2) Methods are described for finding the angles between two tangent lines to a circle based on their slopes. Examples are given of solving systems of equations to find the points where tangent lines intersect.
(3) One example determines the equation of a circle given that it passes through two known points and is tangent to another circle at a third point.
SUEC 高中 Adv Maths (Locus) (Part 1).pptx
This document contains mathematical equations and concepts related to geometry including:
- Equations of circles with given centers and radii
- Equations relating the distances between points on curves
- Systems of equations used to find intersection points of curves
- Distance ratios used to define loci and find their equations
SUEC 高中 Adv Maths (Earth as Sphere) (Part 2).pptx
The document contains calculations of distances between various geographic points using latitude and longitude coordinates. It includes the distances between points Q and A, which is 319.2 km, and the distance from a point at 42°N 33°27'E or 42°N 6°33'W to 40°N 33°47'E, which is calculated as 8,895.35 km or 4,800 nautical miles. It also contains a calculation using trigonometric functions that finds the distance between two points is 6,560 km or 3,540 nautical miles.
SUEC 高中 Adv Maths (Earth as Sphere) (Part 1).pptx
The document provides steps for calculating time differences and longitude differences between two locations:
1) Find the longitude difference between the two places.
2) Convert the longitude difference to time using 1 hour = 15 degrees.
3) Adjust the calculated time based on whether the longitude is East or West - add time if East, subtract if West.
SUEC 高中 Adv Maths (Orthographic Projection).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
SUEC 高中 Adv Maths (3D Trigo).pptx
This document contains calculations and solutions to trigonometry problems involving angles, sides of triangles, and distances. Various trigonometric functions are used to calculate unknown angles and distances. Measurements include distances between points, lengths of sides of triangles, angles of triangles, and distances between locations. The document demonstrates applying trigonometric concepts and relationships to solve for unknown values in different geometric scenarios and problems.
SUEC 高中 Adv Maths (Matrix) (Part 3).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Matrix) (Part 2).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Matrix) (Part 1).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Exponential Equation, Log Function).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Log Equation).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Change of Base Rule).pptx
The document contains examples of solving various logarithmic and algebraic equations. It begins by solving equations involving logarithms such as logabc = loga bc - logb a ∙ logc a. It then solves equations involving logarithms of both sides being equal, leading to the determination that x = abc. Further examples include solving quadratic equations that arise from rewriting the original equations in terms of new variables, and determining the solutions for x in each case.
More from tungwc (20)
SUEC 高中 Adv Maths Revision (Earth as Sphere, Locus, Permutation, Combination,...
SUEC 高中 Adv Maths Revision (Earth as Sphere, Locus, Permutation, Combination,...
SUEC 高中 Adv Maths (Exponential Equation, Log Function).pptx
SUEC 高中 Adv Maths (Exponential Equation, Log Function).pptx
Recently uploaded
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
How to Setup Warehouse & Location in Odoo 17 Inventory
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcBÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdThe History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Recently uploaded (20)
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
SUEC 高中 Adv Maths (Trigo Equation) (Part 2)
- 1. 𝒑𝒈 𝟐𝟖𝟐
- 2. 𝒑𝒈 𝟐𝟖𝟑 𝑥 = 135 ° , 315 ° 𝑥 = 30 °, 150 ° 𝑥 = 45 °, 135 °, 225 °, 315 ° 𝑥 = 60 °, 300 ° 𝑥 = 90 ° 𝑥 = 60 °, 180 °, 300 °
- 3. 𝒑𝒈 𝟐𝟖𝟑 𝒏𝝅 𝟐 + −𝟏 𝒏 𝝅 𝟖
- 4. 𝒑𝒈 𝟐𝟕𝟕 Sin Graph − 𝝅
- 5. 𝒑𝒈 𝟐𝟖𝟑
- 6. 𝒑𝒈 𝟐𝟖𝟑
- 7. 𝒑𝒈 𝟐𝟖𝟑 𝒏𝝅 + −𝟏 𝒏 𝝅 𝟔 𝟐𝒏𝝅 + 𝝅 𝟐 𝒙 = 𝟒𝒏𝝅 + 𝝅 𝒙 = 𝟐𝒏𝝅
- 8. 𝒑𝒈 𝟐𝟕𝟗
- 9. 𝒑𝒈 𝟐𝟖𝟑 𝒏𝝅 + −𝟏 𝒏 𝝅 𝟔 𝟐𝒏𝝅 − 𝝅 𝟐
- 10. 𝒑𝒈 𝟐𝟖𝟐
- 11. 𝒑𝒈 𝟐𝟕𝟖 − 𝟐𝟕𝟗 Cos Graph − 𝝅/𝟐
- 12. 𝒑𝒈 𝟐𝟖𝟑 𝟒𝒏𝝅 ± 𝝅 𝟑 𝟐𝒏𝝅 + 𝝅
- 13. 𝒑𝒈 𝟐𝟖𝟑 𝟒𝒏𝝅 ± 𝟐𝝅 𝟑 𝟐𝝅(𝟐𝒏 + 𝟏)
- 14. 𝒑𝒈 𝟐𝟖𝟐
- 15. 𝒑𝒈 𝟐𝟖𝟑 𝒏𝝅 ± 𝝅 𝟒 𝒏𝝅 ± 𝝅 𝟑 𝒏𝝅
Editor's Notes
- 6. sin x - cos x = 1, square both side, x = 0 cannot be a solution