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Problem 27

In Exercises \(21-32,\) graph the given function over one period. $$y=-3 \sin (\pi x)$$

Problem 27

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

Problem 28

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

Problem 28

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

Problem 28

In Exercises \(21-32,\) graph the given function over one period. $$y=-2 \cos (\pi x)$$

Problem 29

In Exercises \(21-32,\) graph the given function over one period. $$y=5 \cos (2 \pi x)$$

Problem 29

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

Problem 29

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

Problem 30

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. $$\cos \left(-\frac{7 \pi}{6}\right)$$

Problem 30

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

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