Free Printable NC Math 3 Unit 7 Part 1 Test

1.

What is the equation of the graph?

a)

$y=\cos\left(\frac{1}{2}x\right)$

b)

$y=\cos\left(2x\right)$

c)

$y=\frac{1}{2}\cos x$

d)

$y=2\cos\ x$

2.

Find the exact value of the $\sin\left(\frac{5\pi}{3}radians\right)$ .

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

3.

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

a)

b)

c)

d)

4.

Which is an equation for the graph?

a)

$y=\sin\ \frac{\pi}{2}x\ -3$

b)

$y=\sin\ 2\pi x-3$

c)

$y=\sin\ \frac{1}{2\ }x-3$

d)

$y=\sin\ 2x-3$

5.

$\frac{5\pi}{8}$ radians is equivilant to how many degrees?

(a)

6.

If I begin at $\frac{11\pi}{6}$ radians and move through $\frac{5\pi}{6}$ radians counterclockwise, what is the sine of the angle that I end up at?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

7.

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

a)

7.78 inches

b)

8.21 inches

c)

157.5 inches

d)

7 inches

8.

Find arc length

a)

114π/5 ft

b)

2850 ft

c)

95π/6 ft

d)

150π/19 ft

9.

What is the equation of the graph shown?

a)

y=1/2cos2x

b)

y=1/2sin4x

c)

y=1/2cos4x

d)

y=4cos1/2x

10.

Write an equation of a sine function with a period of π and amplitude of 7.

a)

y=7sin2πx

b)

y=7sinπx

c)

y=2sin7x

d)

y=7sin2x

11.

Graph

a)

b)

c)

d)

12.

a)

b)

c)

d)

13.

In the equation $y\ =\ \frac{1}{3}\cos\left(\frac{1}{2}x+\frac{\pi}{3}\right)$ , what is the phase shift?

a)

$left\ \frac{2\pi}{3}$

b)

$right\ \frac{2\pi}{3}$

c)

$left\ \frac{\pi}{3}$

d)

$right\ \frac{\pi}{3}$

14.

The screen shows the graph of a sound recording on an oscilloscope. What is the period and the amplitude? (Each unit on the t-axis equals .01 seconds.)

a)

0.025 seconds, 4.5

b)

0.025 seconds, 9

c)

0.05 seconds, 4.5

d)

0.05 seconds, 9

15.

If I begin with my pencil tip at $\frac{7\pi}{4}$ radians and move through one and a half revolutions what is the exact value of the cosine of the angle that I end up at?

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

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

d)

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

NC Math 3 Unit 7 Part 1 Test

Total questions: 15

Worksheet time: 42mins

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