Free Printable Trigonometry 9.1-9.4

1.

What is the reference angle for $753°$ ?

a)

$53°$

b)

$33°$

c)

$-53°$

d)

$57°$

2.

The following angles: $-150°\ ,\ 210°\ ,\ 570°\ ,\ -510°$ are all...

a)

colinear

b)

acute angles

c)

coterminal

d)

have no relation

3.

Dan's family orders a 12" pizza and cuts it into quarters. What is the approximate area of one slice?

a)

$57\ in.^2$

b)

$28\ \ in.^2$

c)

$141\ \ \ in.^2$

d)

$14\ \ \ in.^2$

4.

Convert $-\frac{1}{5}\pi$ to degrees:

a)

$-113°$

b)

$-36°$

c)

$113°$

d)

$-30°$

5.

The following angles are coterminal with $\pi$ radians?

a)

$540°\ \ ,\ \ –5π$

b)

$-180°\ \ ,\ \ 0$

c)

$870°\ \ ,\ \ -\frac{\pi}{4}$

d)

$-45°\ \ \ \ ,\ \ \ –\pi$

6.

Based upon the diagram and using your calculator, find the length of $a$ to two decimal places.

a)

$2.07$

b)

$7.73$

c)

$9.97$

d)

$2.14$

7.

$-60°\ =$ ________ radians:

a)

$\frac{\pi}{3}$

b)

$-\frac{\pi}{3}$

c)

$\frac{\pi}{4}$

d)

$-\frac{\pi}{6}$

8.

What is $\sec\left(\theta\right)$ if $\sin\left(\theta\right)$ is $\frac{12}{15}$ ?

a)

$-\frac{5}{4}$

b)

$\frac{5}{3}$

c)

$\frac{5}{4}$

d)

Undefined

9.

If $\sin\left(\theta\right)$ is $\frac{1}{2}$ then $\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$ =

a)

$60°$

b)

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

c)

$\frac{\pi}{6}$

d)

$\sqrt{3}$

10.

$\sin\left(-30°\right)=$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

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

d)

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

11.

$\tan^{-1}\left(0\right)=$

a)

$0$

b)

$1$

c)

Undefined

d)

$\frac{1}{2}$

12.

Given the diagram of the triangle, what is the value of $\tan\left(\frac{\pi}{6}\right)$ ?

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

$2$

d)

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

13.

Given the triangle, what is the perimeter to 2 decimal places?

a)

$24.14$

b)

$14.14$

c)

$65.91$

d)

$20.19$

14.

A crop duster is flying 100 feet over the Kansas plains. At the moment the pilot sees the next farm needing spraying, it occurs at an angle of depression of 25°. Approximately, how far away is the farm at that moment?

a)

$47$ feet

b)

$215$ feet

c)

$42$ feet

d)

$110$ feet

15.

$\tan\left(\theta\right)=4.7\ \ ;\ \ \ 180°\ <\ \theta\ \ <\ 270°$

a)

$-258°$

b)

$78°$

c)

$-78°$

d)

$258°$

16.

What would be the angle of elevation for a truck ramp 20 feet long and 12 feet high?

a)

$\theta=31°$

b)

$\theta=.01°$

c)

$\theta=69°$

d)

$\theta=\ 35°$

17.

Given the point (5, –12) what is $\csc\left(\theta\right)$ ?

a)

$\frac{12}{-13}$

b)

$\frac{12}{13}$

c)

$-\frac{13}{12}$

d)

$-\frac{5}{12}$

18.

Evaluate $\cos\left(\frac{3π}{4}\right)$

a)

$-\frac{\sqrt{2}}{2}$

b)

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

c)

$-1$

d)

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

19.

What is the reference angle for $\left(-615°\right)$

a)

$-105°$

b)

$\frac{5π}{12}$

c)

$\frac{7π}{12}$

d)

$-\frac{\sqrt{2}}{2}$

20.

$\sin^{-1}\left(-\frac{1}{2}\right)=$

a)

$0$

b)

$45°$

c)

$-30°$

d)

$-60°$

Trigonometry 9.1-9.4

Total questions: 20

Worksheet time: 40mins

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