Free Printable Review

1.

It is known that the period of g is an integer between 5 and 15. Which of the following is the period of g?

a)

The period of g could be 5, 6, or 12.

b)

The period of g could be 5 or 12.

c)

The period of g could be 6 or 12.

d)

The period of g is 12.

2.

The function f is periodic with a period of 4. Which of the following must be true for all x where f(x) is defined?

a)

$f\left(x\right)\ =\ f\left(4x\right)$

b)

$f\left(x\right)\ =\ f\left(\frac{1}{4}x\right)$

c)

$f\left(x\right)\ =\ f\left(x+2\right)$

d)

$f\left(x\right)\ =\ f\left(x+4\right)$

3.

Which of the following is true of the graph of g on the interval $30\ \le x\le34?$

a)

The graph of g will obtain a local minimum at x = 31 only.

b)

The graph of g will obtain local minima at x = 31 and x = 33 only.

c)

The graph of g will obtain a local maximum at x = 31 only.

d)

The graph of g will obtain local maxima at x = 31 and x = 33 only.

4.

The length of arc AB in the diagram is 4 centimeters long and angle $\theta$ has a measure of $\frac{2}{3}$ radians. What is the length of segment AO?

a)

$\frac{8}{3\ }cm$

b)

$6\ cm$

c)

$\frac{8\pi}{3}cm$

d)

$6\pi\ cm$

5.

Suppose an angle in the standard position measuring $\theta$ radians, with $\frac{\pi}{2}<\theta<\pi$ , has a terminal ray OA. If another angle in standard position that measures $\alpha$ radians has the exact same terminal ray as OA, which of the following could be true about $\alpha?$

a)

$\alpha=\pi-\theta$

b)

$\alpha=\pi+\theta$

c)

$\alpha=2\pi+\theta$

d)

$\alpha=2\pi-\theta$

6.

The ray OA lies on the terminal ray of angle $\alpha$ , and ray OB lies on the terminal ray of angle $\beta$ . Which of the following is true?

a)

$\sin\ \alpha\ >\ \sin\ \beta$

b)

$\sin\ \alpha\ =\ \sin\ \beta$

c)

$\sin\ \alpha\ <\ \sin\ \beta$

d)

It is impossible to determine without more precise labeling of the graph.

7.

The function f(x) = 2x passes through the origin. The graph f makes an acute angle of $\theta$ with the positive x-axis. What is $\frac{\sin\ \theta}{\cos\ \theta}?$

a)

- 2

b)

- 1/2

c)

1/2

d)

2

8.

Point A lies at the intersection of the terminal ray of an angle in standard position measuring $\theta$ and the circle shown in the diagram. Which of the following is true?

a)

$\cos\ \theta<\sin\ \theta<\tan\ \theta$

b)

$\cos\ \theta<\tan\ \theta\ <\sin\ \theta$

c)

$\tan\ \theta<\sin\ \theta\ <\cos\ \theta$

d)

$\tan\ \theta\ <\cos\ \theta\ <\sin\ \theta$

9.

An air traffic controller is working with software that specifies the location of planes in terms of an angle and the distance away from the control tower. The angle can be considered an angle in standard position in the coordinate plane if the control tower is at the origin.

The air traffic controller spots a certain plane that is 5 miles away at an angle of 3 radians. Which of the following best describes the location of the plane respective to the control tower in terms of a cardinal direction?

a)

$\left|3\ \sin\ 5\right|$ miles north of the tower

b)

$\left|3\ \sin\ 5\right|$ miles south of the tower

c)

$\left|5\ \cos\ 3\right|$ miles east of the tower

d)

$\left|5\ \cos\ 3\right|$ miles west of the tower

10.

Evaluate: sin 0.

a)

-1

b)

1

c)

0

d)

undefined

11.

Evaluate: $\cos\ \left(-\ \frac{2\pi}{3}\right)$ .

a)

$\frac{1}{2}$

b)

$\frac{\sqrt[]{2}}{2}$

c)

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

d)

$-\frac{1}{2}$

12.

Evaluate: $\tan\ \left(\frac{5\pi}{6}\right)$ .

a)

$-\ \sqrt[]{3}$

b)

$\sqrt[]{3}$

c)

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

d)

$\frac{\sqrt[]{3}}{3}$

13.

Evaluate: $\sin\ \left(\frac{11\pi}{6}\right)$ .

a)

$-\ 1$

b)

$-\ \frac{1}{2}$

c)

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

d)

$-\ \sqrt[]{3}$

14.

Evaluate: $\cos\ \left(\frac{\pi}{2}\right)$ .

a)

$1$

b)

$\ \frac{1}{2}$

c)

$undefined$

d)

$0$

15.

Evaluate: $\sin\ \left(-\ \frac{5\pi}{4}\right)$ .

a)

$\frac{1}{2}$

b)

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

c)

$\frac{\sqrt[]{2}}{2}$

d)

$-\ \frac{1}{2}$

Review - 3.1-3.3

Total questions: 15

Worksheet time: 2hrs 36mins

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