Free Printable A2H Unit 6 Test Review 22-23

1.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

2.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [-1, 1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

3.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

4.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

5.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

6.

What is the equation of the graph shown?

a)

y=1/2cos2x

b)

y=1/2sin4x

c)

y=1/2cos4x

d)

y=4cos1/2x

7.

what is the amplitude of
y = 3sin (7x) -2

a)

7

b)

-2

c)

3

d)

6

8.

What is the period of
y= 4 cos (5x)

a)

2π/5

b)

π

c)

5

d)

5π

9.

Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ .

a)

$y=6\sin8\theta$

b)

$y=6\sin8\left(\theta-1\right)$

c)

$y=6\sin\ \frac{1}{4}\theta$

d)

$y=6\sin\theta$

10.

$y=2\sin6\left(x-\frac{\pi}{24}\right)-2$

Choose all answers that apply.

a)

Amplitude is 2

b)

Amplitude is -2

c)

Midline is y=2

d)

Midline is y=-2

e)

Phase shift is π/24 to the right

11.

How do you find the period of a tangent function?

a)

270/b

b)

π/b

c)

360/b

d)

2π/b

12.

What is the amplitude of the equation:

y = -3tan(x - π)+1

a)

-3

b)

3

c)

π

d)

1

13.

What is the period of y=4tan5x

a)

π/5

b)

π

c)

5

d)

5π

e)

2π/5

14.

What is the phase shift of this graph?

a)

Down 2

b)

left 2

c)

left $\pi$

d)

right $\pi$

e)

Up $\pi$

15.

Daniel is jumping up and down. He is jumping a total of 28 inches high, and if he flutters high arms really fast he stays in the air for 2 seconds before hitting the ground again. Which function can model Daniel's vertical position, y, at time t, if he starts at the ground level.

a)

$y=14\sin\left(\pi x\right)+14$

b)

$y=14\cos\left(\pi x\right)+14$

c)

$y=-14\cos\left(\pi x\right)+14$

d)

$y=-14xos\left(2x\right)+14$

16.

Convert the following radian measure to degrees.

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

a)

$270\degree$

b)

$215\degree$

c)

$240\degree$

d)

$200\degree$

17.

Convert the following radian measure to degrees.

$-\frac{35\pi}{36}$

a)

$-185\degree$

b)

$-180\degree$

c)

$-350\degree$

d)

$-175\degree$

18.

Convert the following degree measure to radians. $-780\degree$

a)

$-\frac{155\pi}{36}$

b)

$-\frac{77\pi}{18}$

c)

$-\frac{79\pi}{18}$

d)

$-\frac{13\pi}{3}$

19.

Convert the following degree measure to radians.
$1035\degree$

a)

$\frac{193\pi}{36}$

b)

$\frac{23\pi}{4}$

c)

$\frac{23\pi}{2}$

d)

$\frac{14\pi}{3}$

20.

Find the measure of the angle.

a)

$-950\degree$

b)

$-860\degree$

c)

$-770\degree$

d)

$-970\degree$

21.

Find the measure of the angle.

a)

$960\degree$

b)

$785\degree$

c)

$780\degree$

d)

$1050\degree$

22.

Find a positive and negative coterminal angle for the given angle.
$195\degree$

a)

$645\degree\ and\ -75\degree$

b)

$645\degree\ and\ -345\degree$

c)

$555\degree\ and\ -165\degree$

d)

$555\degree\ and\ -255\degree$

23.

Find a positive and a negative coterminal angle for the given angle.
$-645\degree$

a)

$255\degree\ and\ -285\degree$

b)

$75\degree\ and\ -285\degree$

c)

$75\degree\ and\ -195\degree$

d)

$345\degree\ and\ -285\degree$

24.

Find the reference angle for $\theta=-275\degree$

a)

$85\degree$

b)

$15\degree$

c)

$45\degree$

d)

$20\degree$

25.

Find the reference angle for $\theta=520\degree$

a)

$20\degree$

b)

$40\degree$

c)

$60\degree$

d)

$70\degree$

26.

Find the reference angle for $\theta=\frac{31\pi}{18}$ .

a)

$\frac{\pi}{3}$

b)

$\frac{5\pi}{18}$

c)

$\frac{2\pi}{9}$

d)

$\frac{\pi}{6}$

27.

Find the reference angle for $\theta=-\frac{17\pi}{6}$ .

a)

$\frac{11\pi}{36}$

b)

$\frac{\pi}{6}$

c)

$\frac{5\pi}{12}$

d)

$\frac{\pi}{3}$

28.

Find a positive and a negative coterminal angle for the given angle.
$\frac{29\pi}{12}$

a)

$\frac{17\pi}{12}\ and\ -\frac{13\pi}{12}$

b)

$\frac{5\pi}{12}\ and\ -\frac{19\pi}{12}$

c)

$\frac{23\pi}{12}\ and\ -\frac{19\pi}{12}$

d)

$\frac{23\pi}{12}\ and\ -\frac{7\pi}{12}$

29.

Find a positive and a negative coterminal angle for the given angle.
$\frac{11\pi}{18}$

a)

$\frac{28\pi}{9}\ and\ -\frac{25\pi}{18}$

b)

$\frac{47\pi}{18}\ and\ -\frac{25\pi}{18}$

c)

$\frac{28\pi}{9}\ and\ -\frac{17\pi}{9}$

d)

$\frac{19\pi}{9}\ and\ -\frac{8\pi}{9}$

30.

What is the $\sin\left(\frac{7\pi}{3}\right)$ ?

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

31.

What is the $\sin-495\degree$ ?

a)

$0$

b)

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

c)

$-1$

d)

$\frac{1}{2}$

32.

What is the $\cos\left(-570\degree\right)$ ?

a)

$-\sqrt{3}$

b)

Undefined

c)

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

d)

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

33.

What is the $\cos\left(\frac{17\pi}{3}\right)$ ?

a)

$\frac{1}{2}$

b)

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

c)

$-2$

d)

$-\frac{1}{2}$

34.

What is the $\tan\left(-585\degree\right)$

a)

$-1$

b)

$-\sqrt{3}$

c)

Undefined

d)

$0$

35.

What is the $\tan\left(-\frac{\pi}{2}\right)$ ?

a)

$-1$

b)

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

c)

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

d)

Undefined

36.

A passenger sits 20 m from the center of a Ferris wheel. How far does the passenger travel after going $72\degree$ ?

a)

$4\pi$

b)

$\frac{2\pi}{5}$

c)

$40\pi$

d)

$8\pi$

37.

A passenger sits 20 m from the center of a Ferris wheel. If it takes the Ferris wheel 2 minutes to make one full rotation, how far is the passenger traveling after 6 minutes and 30 seconds?

a)

$130\pi$

b)

$40\pi$

c)

$120\pi$

d)

$80\pi$

38.

Given that $\sin\theta=\frac{2}{5}$ and $0<\theta<\frac{\pi}{2}$ , find $\cos\theta$ .

a)

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

b)

$\frac{21}{25}$

c)

$\frac{\sqrt[]{15}}{5}$

d)

$\frac{2\ \sqrt[]{21}}{21}$

39.

Given that $\sin\theta=-\frac{\sqrt[]{3}}{4}$ and $\frac{3\pi}{2}<\theta<2\pi$ , find $\cos\theta$ .

a)

$\frac{\sqrt[]{7}}{4}$

b)

$\frac{\sqrt[]{13}}{4}$

c)

$-\frac{\sqrt[]{13}}{4}$

d)

$-\frac{\sqrt[]{7}}{4}$

40.

Given that $\cos\theta=\frac{2}{3}\$ and $0<\theta<\frac{\pi}{2}$ , find $\sin\theta$ .

a)

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

b)

$-\frac{\sqrt[]{5}}{3}$

c)

$\frac{4}{3}$

d)

$-\frac{4}{3}$

41.

What is $\csc\theta$ equivalent to?

a)

$\frac{1}{\sin\theta}$

b)

$\frac{1}{\tan\theta}$

c)

$\sin\theta$

d)

$\frac{1}{\cos\theta}$

42.

Simplify $\frac{1}{\csc\theta}\cdot\sin\theta$ .

a)

1

b)

$\sin^2\theta$

c)

$\csc\theta$

d)

$\cos^2\theta$

43.

Simplify $\frac{\tan\theta}{\sec\theta}$ .

a)

$\cos\theta$

b)

$\csc\theta$

c)

$\cot\theta$

d)

$\sin\theta$

44.

Simplify $\cot\theta\sin\theta$

a)

$\sin^2\theta$

b)

$\cos\theta$

c)

$\tan\theta$

d)

$1-\sin^2\theta$

45.

Simplify $\cot\theta\sin\theta\sec^2\theta$

a)

$\cos\theta$

b)

$\tan\theta$

c)

$\csc\theta$

d)

$\sec\theta$

A2H Unit 6 Test Review 22-23

Total questions: 45

Worksheet time: 2hrs 23mins

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