Free Printable Precalc MP3 Review

1.

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

a)

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

b)

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

c)

There are no vertical asymptotes for tan(x)

2.

Which equation models the graph?

a)

$2\cos\left(\frac{\pi}{3}x\right)$

b)

$2\cos\left(6\pi x\right)$

c)

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

d)

$3\cos\left(6x\right)-1$

3.

Which equation models the graph?

a)

$3\sin\left(\frac{\pi}{10}x\right)$

b)

$3\sin\left(\frac{\pi}{5}x\right)$

c)

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

d)

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

4.

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

a)

[-1,1]

b)

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

c)

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

d)

$\left[0,\pi\right]$

5.

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

a)

$\frac{1}{\sqrt{2}}$

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

6.

Use trig identities to simplify the following

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

a)

$1$

b)

$-1$

c)

$\sin^2x$

d)

$-\sin^2x$

7.

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

What is $\tan\theta$ ?

a)

$\frac{3}{-4}$

b)

$\frac{-4}{3}$

c)

$\frac{5}{3}$

d)

$\frac{5}{-4}$

8.

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

a)

$-\frac{3}{7}$

b)

$\frac{3}{7}$

c)

$\frac{7}{3}$

d)

$-\frac{7}{3}$

9.

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

a)

$-\frac{3}{7}$

b)

$\frac{3}{7}$

c)

$\frac{7}{3}$

d)

$-\frac{7}{3}$

10.

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

Solve for x when y=7.

a)

$x\ =\ \frac{\pi}{6}$

b)

x = 4

c)

x = 2

d)

x = 6

Precalc MP3 Review

Total questions: 10

Worksheet time: 20mins

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