Free Printable TRIG TEST

1.

Which angle is co-terminal with 125°?

a)

-275°

b)

235°

c)

55°

d)

-595°

2.

Which of the following shows $-160\degree$ graphed in standard position?

a)

b)

c)

d)

3.

Which of the following cannot be the value of the sine of an angle?

a)

$\frac{\sqrt{15}}{4}$

b)

$-\frac{6}{7}$

c)

$\frac{6}{5}$

d)

$-\frac{\sqrt{3}}{4}$

4.

Express sin 315° as a function of a positive acute angle.

a)

$\cos315\degree$

b)

$\sin45\degree$

c)

$-\sin45\degree$

d)

$\tan45\degree$

5.

Which of the following could intersect the graph $y\ =-5\sin\left(2x\right)+11$ ?

a)

$y\ =17$

b)

$y=9$

c)

$x=0$

d)

$y=2$

e)

$y=-4$

6.

What is the range of the function

$f\left(x\right)=2\cos\frac{\pi}{4}x-7$ ?

a)

[-7,2]

b)

[-5,9]

c)

$\left(-\infty,\infty\right)$

d)

[-9,-5]

7.

What is $\frac{44\pi}{72}$ , expressed in degree measure? (Type the number only, don't worry about the degree symbol.)

(a)

8.

If the terminal side of an angle stops in Quadrant III and the $\cos\ \beta\ =\ -\frac{24}{25}$ , find $\sin\beta$ .

a)

$-\frac{7}{25}$

b)

$\frac{7}{25}$

c)

$\frac{1}{2}$

d)

$-\frac{18}{25}$

9.

Find the exact value of

cos 180° - csc 90°

(a)

10.

What is the equation represented in the graph?

a)

y = 6sin2x + 1

b)

y = 3sin2x + 1

c)

y = 4cos x

d)

y = 3cos2x + 1

11.

What is the amplitude of the equation in the graph?

a)

2

b)

-3

c)

3

d)

$\pi$

12.

What is the reference angle?

(Do not include the degree symbol.)

(a)

13.

An angle $\theta$ drawn in standard position terminates in the second quadrant. If $\csc\theta=\frac{17}{15}$ , then which of the following is the value of $\cos\theta$ ?

a)

$\frac{2}{17}$

b)

$-\frac{8}{17}$

c)

$-\frac{17}{8}$

d)

$-\frac{15}{17}$

14.

What is the period of a graph with the equation of $y\ =\ -5\cos\ \frac{\pi}{6}x\ +4$ ?

a)

$-5$

b)

$\frac{\pi}{2}$

c)

$12$

d)

$\frac{\pi}{3}$

15.

Which graph represents $f\left(x\right)=2\cos x\ +3$ ?

a)

b)

c)

d)

16.

What is the exact value of sin 120° ?

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

17.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

18.

Which of the following is a quadrantal angle?

a)

30°

b)

270°

c)

300°

d)

120°

19.

Which of the following shows $\frac{5\pi}{4}$ graphed in standard position?

a)

b)

c)

d)

20.

Which of the following degree measures could be represented by this diagram?

a)

$-390\degree$

b)

$385\degree$

c)

$-210\degree$

d)

$-490\degree$

21.

What is the amplitude and

period of the function

$y=4\cos2x$ ?

a)

$amplitude\ \rightarrow\ 2\ ,\ period\ \rightarrow\ 4$

b)

$amplitued\ \rightarrow4\ ,\ period\ \rightarrow\ \pi$

c)

$amplitude\ \rightarrow\ 4,\ period\rightarrow\ 2\pi$

d)

$amplitude\ \rightarrow\ 2,\ period\ \rightarrow\ 1$

22.

Find the exact value of sin in the diagram.

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

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

d)

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

23.

What is the value of $\csc180\degree$ ?

a)

-1

b)

1

c)

0

d)

undefined

24.

What is the period of sinusoidal function in the graph?

a)

$2\pi$

b)

8

c)

$8\pi$

d)

4

25.

If $\cos\theta=-\frac{6}{7}$ and the terminal side stops in the Quadrant II, find the exact value of $\cot\theta$ .

For a radical use "rad( )". Ex. $\frac{\sqrt{22}}{10}$ = rad(22)/10

(a)

TRIG TEST

Total questions: 25

Worksheet time: 3hrs 36mins

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