91Ó°ÊÓ

Find a cofunction with the same value as the given expression. $$\tan \frac{\pi}{7}$$

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 lime required for one cycle. $$d=\frac{1}{3} \sin 2 t$$

In Exercises \(23-34\), find the exact value of each of the remaining trigonometric functions of \(\theta\). \(\cos \theta=\frac{4}{5}, \quad \theta\) in quadrant IV

Convert each angle in radians to degrees. $$\frac{11 \pi}{6}$$

In Exercises \(19-30,\) use a calculator to find the value of each expression rounded to two decimal places. $$\cos ^{-1} \frac{\sqrt{7}}{10}$$

Sin \(t\) and cos \(t\) are given. Use identities to find tan \(t,\) csc \(t,\) sec \(t,\) and cot \(t .\) Where necessary, rationalize denominators. $$\sin t=\frac{1}{3}, \cos t=\frac{2 \sqrt{2}}{3}$$

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 lime required for one cycle. $$d=-5 \sin \frac{2 \pi}{3} t$$

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

In Exercises \(19-30,\) use a calculator to find the value of each expression rounded to two decimal places. $$\tan ^{-1}(-20)$$

Convert each angle in radians to degrees. $$-3 \pi$$