91Ó°ÊÓ

Refer to the equations in the definition of simple harmonic motion in this section. and consider the following equation. \(s(t)=5 \cos 2 t, \quad\) where \(t\) is time in seconds What is the amplitude of this motion?

Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{\pi}{3}$$

Fill in the blanks with the appropriate short answers. Do not use a calculator. An angle of \(360^{\circ}\) has an equivalent radian measure of ___.

Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{2 \pi}{3}$$

Fill in the blanks with the appropriate short answers. Do not use a calculator. An angle of \(\pi\) radians has an equivalent degree measure of ___.

Refer to the equations in the definition of simple harmonic motion in this section. and consider the following equation. \(s(t)=5 \cos 2 t, \quad\) where \(t\) is time in seconds What is the frequency?

Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{\pi}{4}$$

Fill in the blanks with the appropriate short answers. Do not use a calculator. The least positive angle coterminal with \(-180^{\circ}\) has degree measure___.

Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{3 \pi}{4}$$

How would the six trigonometric functions of \(90^{\circ}\) and \(-270^{\circ}\) compare? Why?