Free Printable 7.1-7.3 Inverse Trig Review

1.

sin^-1(-π) =

a)

π

b)

0

c)

-1

d)

undefined

2.

sin^-1[cos(3π)] =

a)

-1

b)

-½π,-90⁰

c)

-π, -180⁰

d)

none of these

3.

What is tan[sin^-1(1)]?

a)

undefined

b)

0

c)

½

d)

1

4.

cos^-1(√3/2) =

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

5.

sin^-1[cosπ]

a)

0

b)

π

c)

π/2

d)

-π/2

6.

What range of angles can you get from inverse cosine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

7.

What range of angles can you get from inverse sine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

8.

Evaluate the function: arcsin(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

9.

arccos (-√3/2)

a)

5π/6

b)

7π/4

c)

-√3/2

d)

-5π/6

10.

arccos(cos 5π/4)

a)

3π/4

b)

2π/3

c)

5π/4

d)

-4π/5

11.

arccos[cos(-5π/3)]

a)

-π/3

b)

π/3

c)

-5π/3

d)

5π/3

12.

arctan[tan(-2π/3)]

a)

-π/3

b)

π/3

c)

-2π/3

d)

2π/3

13.

Use a calculator to find the value of the expression and round to two decimal places.
arctan(5)

a)

1.34

b)

-3.38

c)

1.37

d)

-1.45

14.

Find the exact solution of the equation:
4arcsin(x)=π

a)

-√2/2

b)

√2/2

c)

4

d)

1/4

15.

Find the inverse of the function:

f(x)=5sinx+2; -^π/₂≤ x ≤ ^π/₂

a)

arcsin (x-2 / 5)

b)

arcsin 2/5

c)

arcsin (-x+2 / 5)

16.

a)

2pi/3

b)

pi/3

c)

3pi/2

d)

pi

17.

What is the domain of the tan^-1 graph?

a)

(-∞,∞)

b)

(-1, 1)

c)

(-π/2, π/2)

d)

(0,π)

18.

This is the equation of which graph?

a)

y = sin^-1 x

b)

y = cos^-1 x

c)

y = sec x

d)

y = csc x

19.

This is the equation of which graph?

a)

y = sin^-1 x

b)

y = cos^-1 x

c)

y = sec x

d)

y = csc x

20.

What is the range of the sin^-1 graph?

a)

(-∞,∞)

b)

(-1, 1)

c)

(-π/2, π/2)

d)

(0,π)

21.

Solve:

a)

2pi/3

b)

5pi/6

c)

-pi/3

d)

-pi/6

22.

solve

a)

5pi/3

b)

-pi/3

c)

pi/3

d)

2pi/3

23.

Evaluate the function: tan[sin^-1(-1/2)]

a)

√3

b)

√3/3

c)

-√3

d)

-√3/3

24.

sin(cos^-1 (-1/2))

a)

1/2

b)

−1/2

c)

√3/2

d)

−√3/2

25.

Which of these has the same value as cot^-1(3)?

a)

tan (3)

b)

cot (⅓)

c)

tan^-1(⅓)

d)

3 tan^-1(⅓)

26.

Round to 2 decimals in radians:

arccsc (-3)

a)

-.93

b)

-.34

c)

2.23

d)

-1.45

27.

Round to 2 Decimals in Radians. cot^-1(-4)

a)

-.25

b)

-1.33

c)

1.82

d)

2.90

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

Solve
cosθ = - √(3)/2
on θ∈[0, 2π)

a)

θ = π /3, 2π /3

b)

θ = 2π /3, 4π /3

c)

θ = π /6, 5π /6

d)

θ = 5π /6, 7π /6

38.

Solve on the Interval [0,2π)
1/2sec x - 1 = 0

a)

π/6, 5π/6

b)

π/3, 5π/3

c)

2π/3, 4π/3

d)

7π/6, 11π/6

39.

What is one possible solution?

a)

π

b)

π/3

c)

π/2

d)

-π

40.

Solve

sin²θ = ½

on θ∈[0, 2π)

a)

θ = π /4, 7π /4

b)

θ = π /4, 3π /4

c)

θ = 3π /4, 5π /4

d)

θ = π /4, 3π /4, 5π /4, 7π /4

41.

In terms of population, which state is the smallest?

a)

Michigan

b)

Tennessee

c)

Indiana

d)

Louisana

e)

Colorado

42.

The Imagine Dragons song "Radioactive" holds the record for the most number of total weeks on the Billboard Hot 100. How many weeks is that record?

a)

32

b)

55

c)

70

d)

87

e)

102

43.

In Scrabble, which of these letters is worth the most points?

a)

M

b)

C

c)

V

d)

P

44.

Which of the following fast food chains grossed the least amount of money last year in the US?

a)

McDonald's

b)

Burger King

c)

Taco Bell

d)

Chik fil A

7.1-7.3 Inverse Trig Review

Total questions: 44

Worksheet time: 1hrs 28mins

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