Precalc MP3 Review

Where does the graph of tan(x) have vertical asymptotes?

• $...\ -2\pi,\ -\pi,\ 0,\ \pi,\ 2\pi\ ...$

• $...\ -\frac{3\pi}{2},\ -\frac{\pi}{2},\ \frac{\pi}{2},\ \frac{3\pi}{2}\ ...$

• There are no vertical asymptotes for tan(x)

Which equation models the graph?

• $2\cos\left(\frac{\pi}{3}x\right)$

• $2\cos\left(6\pi x\right)$

• $3\cos\left(\frac{\pi}{3}x\right)-1$

• $3\cos\left(6x\right)-1$

Which equation models the graph?

• $3\sin\left(\frac{\pi}{10}x\right)$

• $3\sin\left(\frac{\pi}{5}x\right)$

• $1.5\sin\left(\frac{\pi}{10}x\right)+1.5$

• $1.5\sin\left(\frac{\pi}{5}x\right)+1.5$

The graph of cos(x) is above. Which interval can be used so that  $\cos^{-1}\left(x\right)$  is also a function?

• [-1,1]

•  $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$  

•  $\left[\frac{\pi}{2},\frac{3\pi}{2}\right]$  

•  $\left[0,\pi\right]$  

What is  $\cos\left(\frac{11\pi}{6}\right)$  ?

•  $\frac{1}{\sqrt{2}}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

Use trig identities to simplify the following

 $\left(\cos x-1\right)\left(\cos x+1\right)$  

•  $1$  

•  $-1$  

•  $\sin^2x$  

•  $-\sin^2x$  

If   $\sin\theta=\frac{3}{5},\ \cos\theta=\frac{-4}{5}$  

What is $\tan\theta$  ?

•  $\frac{3}{-4}$  

•  $\frac{-4}{3}$  

•  $\frac{5}{3}$  

•  $\frac{5}{-4}$  

If   $\sin\theta=-\frac{3}{7}$  , what is  $\sin\left(\pi+\theta\right)$  ?

•  $-\frac{3}{7}$  

•  $\frac{3}{7}$  

•  $\frac{7}{3}$  

•  $-\frac{7}{3}$  

If   $\sin\theta=-\frac{3}{7}$  , what is  $\sin\left(\pi-\theta\right)$  ?

•  $-\frac{3}{7}$  

•  $\frac{3}{7}$  

•  $\frac{7}{3}$  

•  $-\frac{7}{3}$  

 $y=-10\cos\left(\frac{\pi}{6}x\right)+2$  

Solve for x when y=7. 

•  $x\ =\ \frac{\pi}{6}$  

• x = 4

• x = 2

• x = 6