Chapter 5

Find the exact values of the indicated trigonometric functions using the unit circle. $$\sin \left(\frac{5 \pi}{3}\right)$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cos \left(\frac{5 \pi}{3}\right)$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cos \left(\frac{7 \pi}{6}\right)$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\sin \left(\frac{7 \pi}{6}\right)$$

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

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

Find the exact values of the indicated trigonometric functions using the unit circle. $$\tan \left(\frac{7 \pi}{4}\right)$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cot \left(\frac{7 \pi}{4}\right)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=\tan \left(\frac{1}{2} x\right),-2 \pi \leq x \leq 2 \pi$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$(5 \pi)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=\cot \left(\frac{1}{2} x\right),-2 \pi \leq x \leq 2 \pi$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\csc \left(\frac{5 \pi}{3}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=\frac{3}{2} \cos (3 x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\cot (2 \pi x),-1 \leq x \leq 1$$

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

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=\frac{2}{3} \sin (4 x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\tan (2 \pi x),-1 \leq x \leq 1$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cot \left(\frac{11 \pi}{6}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=-\sin (5 x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=2 \tan (3 x),-\pi \leq x \leq \pi$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\csc \left(\frac{5 \pi}{6}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=-\cos (7 x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=2 \tan \left(\frac{1}{2} x\right),-3 \pi \leq x \leq 3 \pi$$

Find the exact values of the indicated trigonometric functions using the unit circle. $$\cot \left(\frac{2 \pi}{3}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=\frac{2}{3} \cos \left(\frac{3}{2} x\right)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\frac{1}{4} \cot \left(\frac{x}{2}\right),-2 \pi \leq x \leq 2 \pi$$

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. $$\sin \left(-\frac{2 \pi}{3}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=\frac{3}{2} \sin \left(\frac{2}{3} x\right)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\frac{1}{2} \tan \left(\frac{x}{4}\right),-4 \pi \leq x \leq 4 \pi$$

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 \(11-20,\) state the amplitude and period of each function. $$y=-3 \cos (\pi x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\tan \left(x-\frac{\pi}{2}\right),-\pi \leq x \leq \pi$$

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. $$\sin \left(-\frac{\pi}{3}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=-2 \sin (\pi x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=\tan \left(x+\frac{\pi}{4}\right),-\pi \leq x \leq \pi$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=5 \sin \left(\frac{\pi}{3} x\right)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=2 \tan \left(x+\frac{\pi}{6}\right),-\pi \leq x \leq \pi$$

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. $$\cos \left(-\frac{3 \pi}{4}\right)$$

In Exercises \(11-20,\) state the amplitude and period of each function. $$y=4 \cos \left(\frac{\pi}{4} x\right)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\frac{1}{2} \tan (x+\pi),-\pi \leq x \leq \pi$$

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. $$\cos \left(-\frac{5 \pi}{3}\right)$$

In Exercises \(21-32,\) graph the given function over one period. $$y=8 \cos x$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=\cot \left(x-\frac{\pi}{4}\right),-\pi \leq x \leq \pi$$

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. $$\cos \left(-\frac{5 \pi}{6}\right)$$

In Exercises \(21-32,\) graph the given function over one period. $$y=7 \sin x$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\cot \left(x+\frac{\pi}{2}\right),-\pi \leq x \leq \pi$$

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. $$\cos \left(-\frac{7 \pi}{4}\right)$$

In Exercises \(21-32,\) graph the given function over one period. $$y=\sin (4 x)$$

In Exercises \(9-28,\) graph the functions over the indicated intervals. $$y=-\frac{1}{2} \cot \left(x+\frac{\pi}{3}\right),-\pi \leq x \leq \pi$$

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. $$\sin \left(-\frac{5 \pi}{4}\right)$$