Free Printable Trig Review (conversions, unit circle, triangle trig)

1.

Convert 60° to a radian measure.

a)

$\frac{1}{3}\pi$

b)

$\frac{1}{6}\pi$

c)

$\frac{1}{2}\pi$

d)

$\pi$

2.

To convert from degrees to RADIANS

a)

multiply by

\frac{π}{180°}

b)

multiply by
$\frac{180°}{π}$

c)

multiply by
$\frac{π}{\sqrt{2}}$

d)

multiply by
$\frac{π}{\sqrt{3}}$

3.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

4.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

5.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

6.

Convert π/3 radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

7.

Convert $\frac{8}{5}\pi$ from radian measure to degrees.

a)

$288\degree$

b)

$576\degree$

c)

$144\degree$

d)

$420\degree$

8.

Convert $\frac{35\pi}{18}$ radians into degrees

a)

350^o

b)

340^o

c)

355^o

d)

345⁰

9.

$\cos\ \frac{3\pi}{2}$

a)

1

b)

1/2

c)

0

d)

-1

10.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

11.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

12.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

13.

cos 150^o

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

14.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

15.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

16.

cot 3π/4

a)

-√2/2

b)

-1

c)

1

d)

√2/2

17.

cot $\frac{3\pi}{4}$

a)

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

b)

-1

c)

1

d)

$\frac{\sqrt[]{2}}{2}$

18.

$\sec\left(\frac{4\pi}{3}\right)$

a)

$\frac{\sqrt[]{2}}{2}$

b)

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

c)

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

d)

-2

19.

$\csc\left(\frac{11\pi}{6}\right)$

a)

$-\sqrt[]{3}$

b)

$-\frac{\sqrt[]{3}}{3}$

c)

-2

d)

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

20.

sin (-150 $\degree$ ) = ...

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

e)

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

21.

sin 480 $\degree$ =...

Hint: Find the reference angle then determine the coordinates/value!

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$-\frac{1}{2}$

e)

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

22.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

23.

What is the exact value?

a)

1

b)

0

c)

-1

d)

Undefined

24.

According to the unit circle, which quadrant would you find an angle measuring $\frac{-5\pi}{6}$ radians ?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

25.

If sin A < 0 and cos A < 0, then what quadrant is A in?

a)

I

b)

II

c)

III

d)

IV

26.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

27.

What range of angles for inverse cosine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

28.

What is the range of angles for inverse sine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

29.

What is the range of angles for inverse tangent?

a)

(0, π/2)

b)

(-π/2, π/2)

c)

(0, π)

d)

(0, 2π)

30.

Evaluate: cos^-1(√3/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

31.

Evaluate: arctan(1)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

32.

Evaluate: sin^-1(-√2/2)

a)

-π/4

b)

3π/4

c)

5π/4

d)

7π/4

33.

$\sin^{-1}\left(-\frac{1}{2}\right)$ = _____

a)

$\frac{\pi}{6}$

b)

$-\frac{\pi}{6}$

c)

$\frac{5\pi}{6}$

d)

$-\frac{5\pi}{6}$

34.

$\cos^{-1}\left(-\frac{1}{2}\right)$ = ______

a)

$\frac{\pi}{3}$

b)

$-\frac{\pi}{3}$

c)

$\frac{2\pi}{3}$

d)

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

35.

$\cos^{-1}\ 1$ = ______

a)

$0\pi$

b)

$\frac{\pi}{2}$

c)

$-\frac{\pi}{2}$

d)

$\pi$

36.

$\tan^{-1}\sqrt{3}$ = _____

a)

0

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{4}$

d)

$\frac{\pi}{3}$

37.

$\sin^{-1}\left(-1\right)$ = _______

a)

0

b)

$\frac{\pi}{2}$

c)

$-\frac{\pi}{2}$

d)

$-\pi$

38.

\cos^{-1}\left(0\right)

a)

$-\frac{\pi}{2}$

b)

$\pi$

c)

$\frac{\pi}{2}$

d)

$\frac{3\pi}{2}$

39.

\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)

a)

$\frac{\pi}{3}$

b)

$\frac{5\pi}{3}$

c)

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

d)

$-\frac{\pi}{3}$

40.

arctan( $-\frac{\sqrt{3}}{3}$ )

a)

$-\frac{\pi}{6}$

b)

$\frac{\pi}{6}$

c)

$\frac{11\pi}{6}$

d)

$\frac{\pi}{3}$

41.

\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)

a)

$\frac{\pi}{3}$

b)

$\frac{5\pi}{3}$

c)

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

d)

$-\frac{\pi}{3}$

42.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

43.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

44.

Which is the correct ratio?

a)

sin 28 = x/14

b)

cos 28 = x/14

c)

tan 28 = x/14

d)

tan 28 = 14/x

45.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

46.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

47.

Which Trig function would you use to solve this problem?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

48.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

49.

a)

57.99

b)

51.32

c)

38.68

d)

32.00

50.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

Trig Review (conversions, unit circle, triangle trig)

Total questions: 50

Worksheet time: 2hrs 17mins

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