1. Measuring Angles

Complementary and Supplementary Angles

Open Question
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 displacementb. the frequencyc. the time required for one cycle.d = −8 cos π/2 t
Open Question
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

- 900°
Open Question
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 displacementb. the frequencyc. the time required for one cycle.d = 1/3 sin 2t
Open Question
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

- 1800°
Open Question
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 displacementb. the frequencyc. the time required for one cycle.d = −4 sin 3π/2 t
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

π/3
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

7π/4
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

11π/6
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

- π/6
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

- 8π/5
Open Question
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 displacementb. the frequencyc. the time required for one cycled. the phase shift of the motion.d = 3 cos(πt + π/2)
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

11π/15
Open Question
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 displacementb. the frequencyc. the time required for one cycled. the phase shift of the motion.d = − 1/2 sin(πt/4 − π/2)
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

- 7π/20
Open Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b).

11π/30