91Ó°ÊÓ

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cos \left(\frac{3 \pi}{4}\right)$$

Use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$\sin \left(-\frac{5 \pi}{4}\right)$$

In Exercises \(29-46,\) graph the functions over the indicated intervals. $$y=-\csc (2 \pi x),-1=x \leq 1$$

In Exercises \(29-46,\) graph the functions over the indicated intervals. $$y=2 \csc \left(\frac{1}{3} x\right),-3 \pi \leq x \leq 3 \pi$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\sin \theta=-1,0 \leq \theta \leq 4 \pi$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cos \theta=-1,0 \leq \theta \leq 4 \pi$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cot \theta \text { is undefined, } 0 \leq \theta \leq 2 \pi$$

In Exercises \(49-60\), state the amplitude, period, and phase shift (including direction) of the given function. $$y=4 \cos (x+\pi)$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\csc \theta=-2,0 \leq \theta \leq 2 \pi$$

In Exercises \(57-66,\) state the domain and range of the functions. $$y=\tan \left(\pi x-\frac{\pi}{2}\right)$$