Free Printable Advanced Math Test #2

1.

Which quadrant is -150^o in?

a)

I

b)

II

c)

III

d)

IV

2.

700^o is coterminal with which of the following?

a)

-340^o

b)

-20^o

c)

-280^o

d)

180^o

3.

Find an angle coterminal with an angle which measures 11π ∕ 3.

a)

17 π / 3

b)

4π ∕ 3

c)

π ∕ 3

d)

8π ∕ 3

4.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

5.

a)

A

b)

B

c)

C

d)

D

6.

Determine the the measure of the three other angles in standard position, 0°<θ<360°, that have a reference angle of 75° .

a)

105°, 255°, 285°

b)

75°, 150°, 225°

c)

150°, 225°, 300°

d)

135°, 210°, 285°

7.

What is $\cos\theta$ if $\tan\theta=\frac{3}{4}$ ?

a)

$\frac{3}{5}$

b)

$4$

c)

$3$

d)

$\frac{4}{5}$

8.

If $\cos\theta<0$ and $\cot\theta=\frac{-2}{3}$ , what is $\sin\theta$ ?

a)

$\frac{3\sqrt{13}}{13}$

b)

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

c)

$\frac{2\sqrt{13}}{13}$

d)

$-\frac{2\sqrt{13}}{13}$

9.

Identify the point on the unit circle corresponding to an angle of $150\degree$ in standard position.

a)

$\left(-\sqrt{3},\ -\frac{\sqrt{3}}{2}\right)$

b)

$\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)$

c)

$\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)$

d)

$\left(\frac{1}{2},-\sqrt{3}\right)$

10.

Which point on the unit circle corresponds to $\csc\theta=-\sqrt{2}$ ?

a)

$\left(\frac{-\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)$

c)

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

d)

$\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

11.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

12.

Find the cotangent of the angle in standard position determined by the ordered pair (-6, -10).

a)

3/5

b)

5/3

c)

-3/5

d)

-5/3

13.

Find the secant of the angle in standard position determined by the ordered pair (-7, 24).

a)

-25/7

b)

-7/25

c)

25/7

d)

-24/7

14.

Simplify: sin x cot x

a)

cos x

b)

sin x

c)

tan x

d)

sec x

15.

The expression sinA(cscA-sinA) is equivalent to

a)

1

b)

-sin²A

c)

cos²A

d)

cosA

16.

Simplify: tanxcotx-cos²x

a)

tanx

b)

cotx

c)

sin²x

d)

cos²x

17.

(secθ-1)(secθ+1)

a)

tan²θ

b)

sinθ

c)

cot²θ

d)

cosθ

18.

Find cotθ if secθ = 5/4

a)

4/5

b)

3/4

c)

4/3

d)

3/5

19.

Factor the expression and use fundamental identities to simplify.
$\tan^2x\ -\ \tan^2x\sin^2x$

a)

$\sin^2x$

b)

$-\sec^2x$

c)

$\tan^2x$

d)

-1

20.

Perform the addition and simplify using the fundamental identities.

\frac{1}{1+\cos\ x}+\frac{1}{1-\cos\ x}

a)

$2\csc^2x$

b)

$2\sin^2x$

c)

$2\tan^2x$

d)

$2\cot^2x$

Advanced Math Test #2

Total questions: 20

Worksheet time: 42mins

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