91Ó°ÊÓ

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function. $$y=\frac{1}{2} \sin (x+\pi)$$

Use a calculator to find the value of each expression rounded to two decimal places. $$ \cos ^{-1} \frac{\sqrt{5}}{7} $$

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function. $$y=-2 \sin \left(2 x+\frac{\pi}{2}\right)$$

Use an identity to find the value of each expression. Do not use a calculator. $$ \sin 37^{\circ} \mathrm{csc} 37^{\circ} $$

find the exact value of each of the remaining trigonometric functions of \(\theta\) $$ \sin \theta=\frac{5}{13}, \quad \theta \text { in quadrant } 11 $$

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. $$ d=\frac{1}{2} \sin 2 t $$

In Exercises \(21-28,\) convert each angle in radians to degrees. $$ \frac{7 \pi}{6} $$

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function. $$y=-3 \sin \left(2 x+\frac{\pi}{2}\right)$$

Use an identity to find the value of each expression. Do not use a calculator. $$ \cos 53^{\circ} \sec 53^{\circ} $$

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. $$ d=\frac{1}{3} \sin 2 t $$