Free Printable Chapter 6 Review AMA

1.

If $\sin\theta=\frac{1}{2}$ , $\cos\theta=$

(Select ALL that could be true)

a)

1/2

b)

√3/2

c)

√2/2

d)

-√3/2

2.

Simplify: $\frac{1}{\cos\theta}+\frac{1}{\sin\theta}$

a)

cot+sec

b)

cot+csc

c)

sec+csc

d)

cot+tan

3.

Find the central angle $\theta$ in radians if the radius of a circle is 2cm and the arc length created by $\theta$ is 5cm.

a)

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

b)

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

c)

$72\pi$

d)

$\frac{5}{2}$

4.

$(1-\sin^2x)\tan x$

a)

sin x (tan x)

b)

cos x (sin x)

c)

sec x (tan x)

d)

1- cos x

5.

If $\sin\theta=\frac{16}{20}$ and $0<\theta<\frac{\pi}{2}$ , then $\sec\theta=$

a)

12/20

b)

20/12

c)

-5/3

d)

1

6.

Which of the following are equivalent to: $\frac{1}{1+\sin\theta}+\frac{1}{1-\sin\theta}$ ?

a)

$\frac{2\sin\theta}{\cos^2\theta}$

b)

$\cos^2\theta-1$

c)

$2\sec^2\theta$

d)

$\frac{2}{\csc^2\theta}$

7.

Suppose Ø is an angle in standard position with terminal side in the 2nd quadrant. If sin Ø = √19/10, then cos Ø equals ____.

a)

- √9/10

b)

-19/100

c)

9/10

d)

-9/10

8.

If cos θ = 3/5 and 3π/2 θ< 2π, than tanθ equals__________

a)

4/5

b)

5/3

c)

4/3

d)

-4/3

9.

Find the area of the sector created by central angle $\theta=\frac{5}{12}$ if the radius of the circle is 2in.

a)

$\frac{5\pi}{6}in^2$

b)

$\frac{5}{6}in^2$

c)

$\frac{20\pi}{6}in^2$

d)

$\frac{5\pi}{12}in^2$

10.

Which of the following are equivalent to: $6\tan^2\theta-\tan\theta-2$ ?

a)

$\left(2\tan\theta+1\right)\left(3\tan\theta-2\right)$

b)

$\left(6\tan\theta+1\right)\left(\tan\theta-2\right)$

c)

$\left(3\tan\theta+2\right)\left(2\tan\theta-1\right)$

d)

$\left(2\tan\theta+1\right)\left(3\tan\theta+2\right)$

11.

$\sin\left(-135\degree\right)$

a)

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

b)

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

c)

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

d)

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

12.

$\cos\ \left(-\frac{11\pi}{3}\right)$

a)

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

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

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

13.

What is the exact value for tan $240\degree$

a)

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

b)

$\sqrt{3}$

c)

$-1$

d)

$-\sqrt{3}$

14.

What is the exact value of cot $180\degree$ ?

a)

0

b)

1

c)

-1

d)

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Chapter 6 Review AMA

Total questions: 14

Worksheet time: 28mins

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