A		B		C		D

(a) Which (if any) of the graphs A-D represents a graph of the function $f(\theta)=\sin(\theta)$? Select A B C D None of the graphs above

(b) Which (if any) of the graphs A-D represents a graph of the function $g(\theta)=\cos(\frac{\pi}{2}-\theta)$? Select A B C D None of the graphs above

(c) Based on your answers to (a) and (b), what can you say about the two functions $f(\theta)=\sin(\theta)$ and $g(\theta)=\cos(\frac{\pi}{2}-\theta)$?
A. $\cos(\frac{\pi}{2}-\theta)$ is a horizontal shift of $\sin(\theta)$.
B. $\cos(\frac{\pi}{2}-\theta)$ is a horizontal reflection of $\sin(\theta)$.
C. The two functions are the same.
D. There is no relationship between the two functions.

(d) Based on your answers to parts (a) through (c), what can you say about the two functions $h(\theta) = \csc(\theta)$ and $j(\theta) = \sec(\frac{\pi}{2}-\theta)$?
A. $\sec(\frac{\pi}{2}-\theta)$ is a horizontal shift of $\csc(\theta)$.
B. $\sec(\frac{\pi}{2}-\theta)$ is a horizontal reflection of $\csc(\theta)$.
C. The two functions are the same.
D. There is no relationship between the two functions.

Hint: