Free Printable PCalc Quiz 4.1-4.4

1.

What is the reference angle and the smallest positive coterminal angle of 832° ?

a)

$22^{\degree}$ is the reference angle

b)

$68^{\degree}$ is the reference angle

c)

$472^{\degree}$ is the smallest coterminal angle

d)

$112^{\degree}$ is the smallest positive coterminal angle

2.

Choose the quadrant where both the tangent and cosine functions produce a negative value.

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

3.

If tanθ = -¾ and cscθ > 0, then cotθ =

a)

-4/5

b)

5/4

c)

-4/3

d)

4/5

4.

If sinθ = -5/13 and tanθ > 0, then cosθ =

a)

13/12

b)

-13/12

c)

12/13

d)

-12/13

5.

Given that tanx = -5/4 and cosx > 0, what quadrant does the angle lie in?

a)

1

b)

2

c)

3

d)

4

6.

Cosx = -4/5. The angle lies in Quadrant 2. What is cotx?

a)

4/3

b)

-3/4

c)

3/4

d)

-4/3

7.

If $\tan\theta=-\frac{21}{20}$ and $\sin\theta<0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

8.

If $\sec\theta=-\sqrt{10}$ and $\cot\theta>0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

9.

Let (-4, 3) be a point on the terminal side of θ. Which of the following is FALSE?

a)

cos θ = -4/5

b)

tan θ = -3/4

c)

sin θ = 3/5

d)

cos θ = 4/5

10.

What is the reference angle for 275 degrees?

a)

85 degrees

b)

95 degrees

c)

-85 degrees

d)

-95 degrees

11.

A point on the terminal side of an angle is given. Find the exact value of secθ.

a)

-√2/2

b)

-√2

c)

-(3√2)/2

d)

-3/(3√2)

12.

What is the reference angle for 11π/6

a)

π/6

b)

π/3

c)

π/4

d)

5π/6

13.

sec(-19π/6) =

a)

-2sqrt(3)/3

b)

2sqrt(3)/3

c)

1/2

d)

2

14.

What quadrant does the terminal side of the angle -730° fall?

a)

I

b)

II

c)

III

d)

IV

15.

True or false. A reference angle has a horizontal side.

a)

True

b)

False

16.

Which of the following shows $\frac{5\pi}{4}$ graphed in standard position?

a)

b)

c)

d)

17.

Which of the following degree measures is represented by this diagram?

a)

$-220\degree$

b)

$385\degree$

c)

$-210\degree$

d)

$-480\degree$

18.

$\frac{8\pi}{3}$ is equivalent to what degree measure?

a)

480°

b)

240°

c)

800°

d)

24°

19.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

20.

What is the reference angle?

a)

7

b)

63

c)

277

d)

97

PCalc Quiz 4.1-4.4

Total questions: 20

Worksheet time: 56mins

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