Chapter 1.3, Problem 27E

(a)

To determine

Graph the function $y=\cos x$ and $y=\sec x$ together for $-\frac{3\pi }{2}\le x\le \frac{3\pi }{2}$.

Comment the behavior of $\sec x$ in relation to the signs and values of $\cos x$.

(b)

To determine

Graph the function $y=\sin x$ and $y=\csc x$ together for $-\pi \le x\le 2\pi$.

Comment the behavior of $\csc x$ in relation to the signs and values of $\sin x$.