Trigonometric Functions and Angle Measures Quiz

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Questions and Answers

Match the following angle measurements with their equivalent radian measurements:

$360°$ = $2\pi$ radians $180°$ = $\pi$ radians $90°$ = $\frac{\pi},{2}$ radians $45°$ = $\frac{\pi},{4}$ radians

Match the following radian measurements with their equivalent degree measurements:

$2\pi$ = $360°$ $\pi$ = $180°$ $\frac{\pi},{2}$ = $90°$ $\frac{\pi},{4}$ = $45°$

Match the following terms with their definitions:

Radian = A unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius. Degree = A unit of angle, equal to $1/360$ of a full circle. Unit Circle = A circle with radius 1. Trigonometric functions = Functions that are related to the angles of a triangle.

Match the following trigonometric functions with their definitions:

<p>Sine = In a right triangle, the ratio of the length of the side opposite the angle to the length of the hypotenuse. Cosine = In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse. Tangent = In a right triangle, the ratio of the length of the opposite side to the length of the adjacent side. Cotangent = In a right triangle, the ratio of the length of the adjacent side to the length of the opposite side.</p> Signup and view all the answers

Match the following symbols with their meanings in the context of trigonometry:

<p>$θ$ = A variable often used to represent an angle in mathematics. $π$ = The ratio of the circumference of any circle to its diameter. $s$ = The length of the corresponding arc on the unit circle. $360°$ = The degree measurement of a full circle.</p> Signup and view all the answers

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Study Notes

Trigonometry Conversions

Convert angle measurements from degrees to radians
Convert radian measurements to degrees

Trigonometry Terminology

Match terms with their definitions in trigonometry

Trigonometric Functions

Match functions with their definitions, including:
- Sine
- Cosine
- Tangent
- Cotangent
- Secant
- Cosecant

Trigonometric Symbols

Match symbols with their meanings in trigonometry, including:
- ° (degrees)
- rad (radians)
- sin (sine)
- cos (cosine)
- tan (tangent)
- cot (cotangent)
- sec (secant)
- csc (cosecant)