North Carolina Math 3 EOC Chapter 12

DOK: 1
1 pt

1.

What is the value of the expression sin *θ* × cos *θ* when *θ* = 45°

A

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

B

$-\frac{1}{2}$

C

$\frac{1}{2}$

D

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

DOK: 3
1 pt

4.

A light pole is located just outside of a circular race track with a diameter of 1 mile, and the center of the race track is directly north of the light pole. What would be the period of the sine function used to model a race car’s distance north of the light pole as it travels around the track if the race car’s distance north of the light pole is graphed as a function of its total distance traveled?

A

0.5 miles

B

1 mile

C

2$\mathrm{\pi}$ miles

D

$\mathrm{\pi}$ miles

DOK: 1
1 pt

5.

tan(150°) =

A

$\sqrt{3}$

B

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

C

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

D

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

DOK: 1
1 pt

8.

$\frac{7\mathrm{\pi}}{6}$ radians is equivalent to how many degrees?

A

210°

B

135°

C

270°

D

150°

DOK: 1
1 pt

11.

Find tan *C* if angle *C* is acute and sec *C* = 2.

A

tan $C=\frac{\sqrt{1}}{2}$

B

tan $C=-\frac{\sqrt{1}}{2}$

C

tan $C=-\sqrt{3}$

D

tan $C=\sqrt{3}$