Free Printable Unit 10 Trigonometry Test

1.

Which of the following angles is coterminal with $-820\degree$

a)

$100\degree$

b)

$-260\degree$

c)

$260\degree$

d)

$180\degree$

2.

The number of degrees equal to $\frac{4\pi}{9}$ radians is

a)

$80\degree$

b)

$60\degree$

c)

$270\degree$

d)

$130\degree$

3.

At which of the following angles is the secant function undefined?

a)

$45\degree$

b)

$200\degree$

c)

$180\degree$

d)

$270\degree$

4.

In right triangle ABC, where A is the right angle, BC = 6 and AB = 4. What is the value of csc B ?

a)

$\frac{3\sqrt{5}}{5}$

b)

$\frac{\sqrt{5}}{3}$

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

5.

An angle $\theta$ drawn in standard position terminates in the fourth quadrant. If sin $\theta$ = $\frac{-2}{5}$ , then which of the following is the value of cos $\theta$ ?

a)

$\frac{3}{5}$

b)

$\frac{-4}{5}$

c)

$\frac{-\sqrt{10}}{5}$

d)

$\frac{\sqrt{21}}{5}$

6.

If tan A > 0 and cos A < 0, in which quadrant does A terminate?

a)

I

b)

II

c)

III

d)

IV

7.

Which choice is true?

a)

$\frac{1}{\cos\ x}=\ \csc\ x$

b)

$\frac{1}{\sec\ x\ }=\ \sin\ x$

c)

$\frac{\cos\ x}{\sin\ x}=\cot\ x$

d)

$\frac{\sin\ x}{\cos\ x}=\sec\ x$

8.

The value of $\sin\ \frac{4\pi}{3}$ is

a)

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

b)

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

c)

$\frac{-1}{2}$

d)

$\frac{1}{2}$

9.

If placed in standard position, at which point would an angle of $\frac{5\pi}{3}$ radians intersect the unit circle?

a)

$\left(\frac{1}{2},\ \frac{-\sqrt{3}}{2}\right)$

b)

$\left(\frac{-1}{2},\ \frac{\sqrt{3}}{2}\right)$

c)

$\left(\frac{-\sqrt{3}}{2},\ \frac{1}{2}\right)$

d)

$\left(\frac{\sqrt{3}}{2},\ \frac{-1}{2}\right)$

10.

Which of the following angles would terminate in Quadrant III?

a)

$\frac{\pi}{2}$

b)

$\frac{4\pi}{3}$

c)

$\frac{3\pi}{5}$

d)

$\frac{5\pi}{6}$

11.

Which of the following has the same reference angle as $\theta=120\degree$ ?

a)

$300\degree$

b)

$225\degree$

c)

$30\degree$

d)

$210\degree$

12.

Use the Pythagorean Identity to determine the value of $\cos\ \theta$ if $\sin\ \theta=\frac{4}{5}$ in Quadrant II.

a)

$\frac{-4}{3}$

b)

$\frac{3}{5}$

c)

$\frac{-3}{5}$

d)

$\frac{4}{3}$

13.

Find the exact value of tan $-240\degree$

a)

$\frac{-1}{2}$

b)

$\sqrt{3}$

c)

$-\sqrt{3}$

d)

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

14.

Given $\theta=-225\degree$ , Which choice shows the quadrant containing its terminal ray AND an angle that is coterminal with it.

a)

Quadrant III ; $135\degree$

b)

Quadrant III ; $45\degree$

c)

Quadrant II ; $135\degree$

d)

Quadrant II ; $45\degree$

15.

Find the exact value of $\sec\ 300\degree$

a)

$\frac{-1}{2}$

b)

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

c)

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

d)

$2$

Unit 10 Trigonometry Test

Total questions: 15

Worksheet time: 1hrs 15mins

Similar Resources on Wayground