Quiz about Chapter 9 Review

Question 1

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 2

Find side AB?

Accepted Answer

8.66 m

Answer

20 m

Answer

5 m

Answer

11.54 m

Question 3

Based on your unit circle cos(0^o)=

Accepted Answer

1

Answer

0

Answer

-1

Answer

1/2

Question 4

The __________ represents half the distance between the max and min of a sine or cosine graph.

Accepted Answer

Amplitude

Answer

Period

Answer

Frequency

Answer

Extreme Values

Question 5

Where does the graph of y = cos x begin?

Accepted Answer

(0,1)

Answer

(0,0)

Answer

(0, Pi)

Answer

(1, Pi)

Question 6

What is the amplitude of the function
f(x) = -3cos x ?

Accepted Answer

3

Answer

-3

Answer

6

Answer

-6

Question 7

What is the range?
y=3cos(2x)

Accepted Answer

[-3,3]

Answer

(-3,3)

Answer

[-2,2]

Answer

[3,-3]

Question 8

Question 8.

Accepted Answer

1

Answer

1/cos x

Answer

cot x

Answer

-1

Question 9

Simplify the trig expression.

Accepted Answer

1

Answer

-1

Answer

cotx

Answer

cosx

Question 10

Solve for x:

$$20\cdot\cos\left(5x\right)=\ 10\ \ \sqrt[]{2}$$

Accepted Answer

$$\frac{7\pi}{20}\ and\ \frac{\pi}{20}$$

Answer

$$\frac{7\pi}{4}\ and\ \frac{\pi}{4}$$

Answer

$$\frac{35\pi}{4}\ and\ \frac{5\pi}{4}$$

Answer

$$\frac{7\pi}{30}\ and\ \frac{\pi}{30}$$

Question 11

What is the reference angle for 125 degrees?

Accepted Answer

55 degrees

Answer

235 degrees

Answer

125 degrees

Answer

75 degrees

Question 12

What is the reference angle for 455 degrees?

Accepted Answer

85 degrees

Answer

35 degrees

Answer

95 degrees

Answer

65 degrees

Question 13

Which of the following is the same as $$\cos\ \left(A+B\right)$$

Accepted Answer

$$\cos\ A\ \cos\ B\ -\ \sin\ A\ \sin\ B$$

Answer

$$\sin A\cos\ B\ +\ \cos\ A\ \sin\ B$$

Answer

$$\sin\ A\ \cos\ B\ -\ \cos\ A\ \sin\ B$$

Answer

$$\cos\ A\ \cos\ B\ +\ \sin\ A\ \sin\ B$$

Question 14

Which of the following is equivalent to $$ an\ \left(A-B ight)$$

Accepted Answer

$$\frac{ an\ A\ - an\ B}{1+\ an A an B}$$

Answer

$$ an\ A\ -\ an\ B$$

Answer

$$\frac{ an\ A\ + an\ B}{1-\ an A an B}$$

Answer

$$\frac{\sin\ A}{\cos\ B}$$

Question 15

Expand $$\sin\ \left(33^{o\ }+42^o\right)$$

Accepted Answer

$$\sin\ 33^o\cos42^o+\cos33^o\sin42^o$$

Answer

$$\sin\ 75^{o\ }$$

Answer

$$\sin\ 33^o\cos42^o-\cos33^o\sin42^o$$

Answer

$$\cos33^o\cos42^o+\sin33^o\sin42^o$$

Question 16

Use sum or difference angles identity to find the exact value for $$\cos105^o$$

Accepted Answer

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

Answer

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

Answer

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

Answer

$$\frac{-\sqrt{6}-\sqrt{2}}{4}$$

Question 17

Use sum or difference angles identity to find the exact value for $$\sin\ \left(-15^o\right)$$

Accepted Answer

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

Answer

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

Answer

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

Answer

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

Chapter 9 Review

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