Day 9-4 Notes
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This document provides an introduction to radian measure and reciprocal trigonometric functions. It defines a radian as the central angle that intercepts an arc of a circle equal in length to the radius. Examples are provided for converting between degrees and radians. The six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) are defined, with the last three being the reciprocals of the first three. Examples are given of finding all six trig functions given values of tangent or cosecant.
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3) Coterminal angles are angles that share the same terminal arm and reference angle. They can be written in general form as θ ± (360°)n or θ ± (2π)n, where n is any integer.
Measurfe.pptxddfsfdfferosddodddfwwffffffff
The document discusses trigonometry and the cyclical patterns found in nature that can be analyzed using trigonometric functions. Specifically, it discusses:
1) The flowers of the Trigonometry Daffodil have repeating patterns similar to the cyclical patterns found in nature that can be studied using trigonometric functions.
2) Angles can be measured in degrees, radians, or gradients, with radians being the common unit used in trigonometry.
3) Coterminal angles are angles that share the same terminal arm and reference angle. They can be written in general form as θ ± (360°)n or θ ± (2π)n, where n is any natural number.
4.1A Angles and Angle Measure.pptx
The document discusses trigonometry and circular functions. It defines trigonometry as the study of repeating, cyclical patterns through the use of trigonometric functions. It then provides information about measuring angles in degrees and radians, defining standard angle position, discussing coterminal angles, and converting between degree and radian measure.
Trigonometry and trigonometric ratios angles
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maths TRIGONOMETRIC FUNCTIONS
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Circle
CIRCLE
DEFINITION AND PROPERTIES OF A CIRCLE
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A circle: Is a closed path curve all points of which are equal-distance from a fixed point called centre OR
- Is a locus at a point which moves in a plane so that it is always of constant distance from a fixed point known as a centre.
6.1 Radian Measure
Convert between degrees and radians
Find the length of an intercepted arc
Find the area of a sector
unit_circle_lesson_in trigonometric functions
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2. Significant figures refer to the number of digits in a measurement that are known with certainty. They indicate the precision of a measurement and must be properly handled during calculations to avoid introducing errors.
3. Uncertainty in measurement arises from limitations in precision. Measurements are reported with associated maximum uncertainties. The method of propagation of uncertainties must be applied when operating on measurements.
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Digital sherin
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Radius Methods to Calculate the Radius of a Circle.pdf
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This document summarizes key concepts related to circles for a 10th grade class. It covers the perimeter and area of circles, finding the area of sectors and segments of circles, and calculating the areas of combinations of plane figures. The perimeter of a circle is called its circumference, which is 2πr. The area of a circle is πr^2. To find the area of a sector, use the formula (θ/360)×πr^2, where θ is the central angle of the sector in degrees and r is the radius. The area of combinations of shapes can be found by subtracting the area of one figure from another or adding/subtracting different areas.
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The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and provides formulas for calculating arc length, area of sectors, and area of segments of circles.
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The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
11.1 Circumference and Area of Circles
The document discusses formulas for calculating properties of circles such as circumference, area, arc length, and sector area. It defines pi (π) and shows formulas for calculating the circumference and area of a circle using its diameter or radius. Examples are provided for calculating the circumference, diameter, area, radius, arc length, and sector area of various circles.
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Chapter 2
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Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 4
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Chapter 5
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Chapter 6
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Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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- 1. Intro To Trigonometry Day 4 Radian Measure/Reciprocal Functions 1. Name the quadrant in which an angle of measure x could lie when: a) sin x < 0 and cos x > 0 b) tan x > 0 and cos x < 0
- 2. A Central Angle of a circle is an angle with a vertex at the center of a circle. Intercepted Arc Central Angle When a central angle intercepts an arc that has the same length as a radius of the circle, the measure of the angle is defined to be one radian. r 1 radian r
- 3. The Radian Measure of an angle θ is: arc length s θ = r radius Example: What is the radian measure of a half a revolution? Example: What is the radian measure of the following? a) 3600 = c) 900 = b) 1800 = d) 300 =
- 5. Conversion Formulas 1. Degrees to Radians multiply by π radians 0 180 2. Radians to Degrees 1800 multiply by π radians Examples: Convert from degrees to radians. a) 3150 b) 1500 Examples: Convert from radians to degrees . a) 2π b) π 3 4
- 9. Attachments TerminalInitial Sides of Rotations.gsp