Free Printable quiz 2d

1.

How many radians is 250 degrees?

a)

4π/3

b)

25π/18

c)

5π/6

d)

50π/9

2.

Which diagram shows ^3π/₄ ?

a)

b)

c)

d)

3.

Which trig functions are positive in the 3rd quadrant?

a)

Sine

b)

Cosine

c)

Tangent

d)

Cosecant

e)

Cotangent

4.

Which of the following are true if

tan Θ = √3 and lies in the first quadrant?

a)

sin Θ = ^√3/₂

b)

sin Θ = ¹/₂

c)

cos Θ = ^√3/₂

d)

cos Θ = ¹/₂

e)

sec Θ = 2

5.

Angle Θ is in Quadrant III with

sin Θ = -³/₅. What is tan Θ?

a)

-¾

b)

-⅗

c)

¾

d)

⅘

6.

Find the exact value of the trig function tan ^7π/₆

a)

^√3/₃

b)

√3

c)

-^√3/₃

d)

^√3/₂

7.

Find tan Θ if cos Θ is -^√3/₂ and

π < Θ < ^3π/₂

a)

tan Θ = ^√3/₃

b)

tan Θ = 1

c)

tan Θ = -^√3/₃

d)

tan Θ = -1

8.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

9.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

10.

secθ=

a)

1/cosθ

b)

1/sinθ

c)

1/tanθ

d)

1/cscθ

11.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

12.

cotθ=

a)

cosθ/sinθ

b)

sinθ/cosθ

c)

tanθ

d)

1/cosθ

13.

*

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

14.

sec²(x) - tan²(x)

a)

tan(x)

b)

1

c)

-sin(x)

d)

-1

15.

sec²x −1

a)

sin²x

b)

cos²x

c)

tan²x

d)

cot²x

16.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

17.

Is this a pythagorean identity?
tan²x + 1 = secx

a)

Yes

b)

No

18.

sin 90 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

19.

cos 45 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

20.

cos 60 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

21.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or $\sin^{-1}$

22.

If $\cos60\degree\ =\ \frac{1}{2}$ , then $\sec60\degree$ =

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

23.

If $\sin\theta=\frac{4}{5}$ , then $\csc\theta=$

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$\frac{5}{4}$

24.

If $\tan\theta=\frac{12}{5}$ , then $\cot\theta=$

a)

$-\frac{12}{5}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\frac{5}{12}$

25.

If $\sin\theta=\frac{1}{\sqrt{2}}$ , then $\csc\theta=$

a)

$\sqrt{2}$

b)

$\frac{1}{\sqrt{2}}$

c)

$-\sqrt{2}$

d)

$-\frac{1}{\sqrt{2}}$

26.

If $\cos\theta=-\frac{2}{\sqrt{3}}$ , then $\sec\theta=$

a)

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

b)

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

c)

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

d)

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

27.

If $\sin\theta=\frac{\sqrt{2}}{2}$ , then $\csc\theta=$

a)

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

b)

$\frac{2}{\sqrt{2}}\ which\ is\ \sqrt{2}$

c)

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

d)

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

28.

If $\sin0\degree=0$ , then $\csc0\degree=$

a)

0

b)

1

c)

$\frac{1}{0}$ which is undefined

d)

"eleventeen"

29.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

30.

tan 2π =

a)

0

b)

1

c)

-1

d)

undefined

31.

tan(3π/4)

a)

1

b)

-1

c)

√2/2

d)

-√2/2

32.

sin(5π/3)

a)

-√3/2

b)

-√2/2

c)

-1/2

d)

√3/2

33.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

34.

tan 225^o

a)

-1

b)

-√3/2

c)

1

d)

√3

35.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

36.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

37.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

38.

In which quadrant would you find an angle measuring -700°?

a)

1

b)

2

c)

3

d)

4

39.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

40.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

41.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

42.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

43.

What are the negative and positive coterminal angles of -225°?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

44.

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

a)

17 π / 3

b)

4π ∕ 3

c)

π ∕ 3

d)

8π ∕ 3

45.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

46.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

47.

Name the quadrant in which the angle $\theta$ lies.

\sin\theta<0,\ \cos\theta>0

a)

I

b)

II

c)

III

d)

IV

48.

Find the exact value of

$\cos\left(-45\degree\right)$

a)

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

b)

$\frac{1}{2}$

c)

$\sqrt{2}$

d)

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

49.

Convert to degrees.

a)

36 degrees

b)

80 degrees

c)

288 degrees

d)

576 degrees

50.

Write all six trig ratios.

a)

$\sin\theta=\frac{24}{25}\ \cos\theta=\frac{7}{25}\ \tan\theta=\frac{24}{7}\$ $\csc\theta=\frac{25}{24}\ \sec\theta=\frac{25}{7}\ \cot\theta=\frac{7}{24}$

b)

$\sin\theta=\frac{7}{25}\ \cos\theta=\frac{24}{25}\ \tan\theta=\frac{7}{24}$ $\csc\theta=\frac{25}{7}\ \sec\theta=\frac{25}{24}\ \cot\theta=\frac{24}{7}$

51.

Find sin(θ) given that the terminal side of θ contains the point (-19, 19).

a)

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

b)

$-1$

c)

$-\sqrt{2}$

d)

$-\frac{\sqrt{2}}{19}$

52.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

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

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{5}}{2}$

d)

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

53.

Find cos(θ) given that the terminal side of θ contains the point $\left(-9,\ 6\right)$ .

a)

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

b)

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

c)

$\frac{3}{2}$

d)

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

54.

Find $\tan\left(\theta\right)$ given that $\sin\left(\theta\right)=-\frac{3}{5}$ and $\cos\left(\theta\right)>0$ .

a)

$-\frac{3}{4}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$-\frac{5}{3}$

55.

Find $\sin\left(\theta\right)$ given that $\cot\left(\theta\right)=-\frac{\sqrt{2}}{5}$ and $\cos\left(\theta\right)>0$ .

a)

$-\frac{5\sqrt{3}}{9}$

b)

$\frac{\sqrt{6}}{3}$

c)

$\frac{5\sqrt{2}}{2}$

d)

$-\frac{5}{9}$

56.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

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

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{5}}{2}$

d)

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

57.

$\tan\left(\theta\right)$ of an angle, $\theta$ can be expressed as which of the following?

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{opposite}{adjacent}$

c)

$\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$

d)

$\frac{hypotenuse}{adjacent}$

58.

Given: sin θ < 0 and cos θ > 0. In which quadrant(s) does the terminal side the angle θ terminate when drawn in standard position? (Select all that apply.)

a)

1

b)

2

c)

3

d)

4

quiz 2d

Total questions: 58

Worksheet time: 2hrs 46mins

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