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In Exercises 21–28, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, find the following:
a. the maximum displacement
b. the frequency
c. the time required for one cycle.

d = −4 sin 3π/2 t

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In Exercises 37–40, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, graph one period of the equation. Then find the following:

a. the maximum displacement
b. the frequency
c. the time required for one cycle
d. the phase shift of the motion.

d = 3 cos(πt + π/2)

In Exercises 21–28, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, find the following:
a. the maximum displacement
b. the frequency
c. the time required for one cycle.

d = 1/3 sin 2t

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Draw an Angle in Radians (Standard Position)

In Exercises 21–28, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, find the following:
a. the maximum displacement
b. the frequency
c. the time required for one cycle.

d = 10 cos 2πt

How do we Find the Area of a Sector of a Circle?

Area of a Sector of a Circle

Find Coterminal Angles

Angles and Radian Measure

Coterminal Angles - Example 2

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In Exercises 21–28, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, find the following:
a. the maximum displacement
b. the frequency
c. the time required for one cycle.

d = −8 cos π/2 t

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Linear Speed and Angular Speed

Coterminal Angles - Example 3

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In Exercises 37–40, an object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. In each exercise, graph one period of the equation. Then find the following:

a. the maximum displacement
b. the frequency
c. the time required for one cycle
d. the phase shift of the motion.

d = − 1/2 sin(πt/4 − π/2)

Finding the arc length of a circle

Write an angle in decimal degree form

How are Angles Measured in Degrees?

Introduction to Trigonometry on the Cartesian Plane

Coterminal Angles In Radians & Degrees - Basic Introduction, Trigonometry

This course covers topics including trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers and more.

College Trigonometry

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Use Reference Angles to Evaluate Trigonometric Functions

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Recognize and Use the Vocabulary of Angles

Use Degree Measure

Use Radian Measure

Convert Between Degrees and Radians

Draw Angles in Standard Position

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Find the area of a sector

Use Linear and Angular Speed to Describe Motion on a Circular Path

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