9.5 Other Trig Functions

What is the "amplitude" of the function?
 $y=\frac{1}{2}\csc x-4$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

• 1

•  $-4$  

What is the "amplitude" of the function?
 $y=-\frac{1}{3}\sec\ \left(\frac{1}{4}\left(x-\pi\right)\right)+2$  

•  $-\frac{1}{3}$  

•  $\frac{1}{3}$  

•  $\pi$  

• 2

What is the period of the function?
 $y=3\sec\left(2x\right)-1$  

•  $2\pi$  

• 3

•  $\pi$  

•  $\frac{\pi}{2}$  

What is the period of the function?
 $y=\frac{5}{4}\csc\left(4\left(x-\frac{\pi}{2}\right)\right)+3$  

•  $2\pi$  

•  $\frac{\pi}{8}$  

•  $\frac{\pi}{8}$  

•  $\frac{\pi}{2}$  

Find the phase shift:  $y=-5\sec\left(2\left(x-\frac{\pi}{2}\right)\right)+4$  

•  $x=\frac{\pi}{2}$  

•  $x=0$  

•  $x=\pi$  

•  $x=-\frac{\pi}{2}$  

Find the phase shift:  $y=\csc\left(x+\frac{\pi}{4}\right)$  

•  $x=0$  

•  $x=\frac{\pi}{4}$  

•  $x=-\frac{\pi}{4}$  

•  $x=\pi$  

Which is the correct equation of the centerline for the following function?  $y=-3\sec2x\ +\ 1$  

•  $y=1$  

•  $y=-3$  

•  $y=2$  

•  $y=0$  

Which is the correct equation of the centerline for the following function?   $y=\frac{2}{3}\csc\left(4\left(x-\pi\right)\right)-5$  

•  $y=\frac{2}{3}$  

•  $y=4$  

•  $y=-5$  

•  $y=\pi$  

What is the "amplitude" for the function:  $y=\cot\left(2x\right)$  ?

• 1

• 2

•  $\pi$  

•  $-1$  

What is the "amplitude" for the function:   $y=-\frac{5}{7}\tan\left(x+\frac{\pi}{2}\right)$  ?

•  $-\frac{5}{7}$  

•  $\frac{5}{7}$  

•  $1$  

•  $-\frac{\pi}{2}$