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# Symmetry (Odd & Even) and Periodicity of Trigonometric Function

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• Form a unit circle.
• Find the symmetry (odd and even) of the given function by using the unit circle.
• Find the periodicity of the given function by using the unit circle.

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https://brainmass.com/math/trigonometry/symmetry-odd-even-periodicity-trigonometric-function-624389

#### Solution Preview

• Form a unit circle.
• Find the symmetry (odd and even) of the given function by using the unit circle.
• Find the periodicity of the given function by using the unit circle.

Use the Unit Circle to Explain Symmetry (Odd and Even) and Periodicity of Trigonometric Functions
Objectives
Form a unit circle.
Find the symmetry (odd and even) of the given function by using the unit circle.
Find the periodicity of the given function by using the unit circle.

Vocabulary
Function: A relation between a set of inputs and a set of outputs with each input is related to exactly one output.
Unit Circle: A unit circle is a circle with a radius of one.
Radians: The radian is the standard unit of angular measure.
Symmetry: An action happening at regularly spaced periods of time.
Periodic Function: A function that repeats its values in regular intervals or periods.

Introduction
The unit circle is a way to remember trigonometric values. We are going to learn how to remember the values of trigonometric functions using the unit circle and how to use the unit circle to find the symmetry of the function and periodicity of trigonometric functions.
Unit Circle
A unit circle is a circle with a radius of one (a unit radius).
In trigonometry, the unit circle is centered ...

#### Solution Summary

This lesson explain how to use unit circle to define trigonometric function and periodicity of trigonometric functions.

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