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inverse trig day 1

Total questions: 22

Worksheet time: 35mins

Name
Class
Date
1.

Find the solution(s) csc⁡−1(59)=\csc^{-1}\left(\frac{5}{9}\right)=  

a)

.589 in radians

b)

1.698 in radians

c)

1.896 in radians

d)

undefined

2.
tan-1(√(3))
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
3.
sec-1(-2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
4.
sin-1(√(2)/2) = 
a)
π/4
b)
π/3
c)
π/2
d)
π
5.
tan-1(√(3))
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
6.
sin-1(√(2)/2) = 
a)
π/4
b)
π/3
c)
π/2
d)
π
7.
sin-1(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
8.
Evaluate:  arctan(1)
a)
π/6
b)
π/4
c)
π/3
d)
π/2
9.


sin⁡ −1(−22)\sin\ ^{-1}\left(-\frac{\sqrt[]{2}}{2}\right)

a)

11π/6

b)

π/4

c)
5π/6
d)

-π/4

10.

cos-1(1/2)

a)

π/3

b)

π/2

c)

π/4

d)

π/6

11.

Evaluate:  arccos(-1)

a)

0

b)

π

c)

π/2

d)

2π

12.


tan⁡ −1(−3)\tan\ ^{-1}\left(-\sqrt[]{3}\right)

a)

-π/3

b)

-5π/6

c)

-2π/3

d)

-π/6

13.
This is the equation of which graph?
a)
y= cot x
b)
y = tan x
c)
y = cot-1 x
d)
y = tan-1 x
14.
y = arctan x is the same graph as which of the following?
a)
y= cot x
b)
y = tan x
c)
y = cot-1 x
d)
y = tan-1 x
15.
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
16.
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
17.

What is the domain of the sin graph?

a)

(-∞,∞)

b)

[-1, 1]

c)

(-π/2, π/2)

d)

[0,π]

18.

What is the range of the cos-1 graph?

a)

(-∞,∞)

b)

[-1, 1]

c)

(-π/2, π/2)

d)

[0,π]

19.

What is the domain of the cos-1 graph?

a)

(-∞,∞)

b)

[-1, 1]

c)

(-π/2, π/2)

d)

[0,π]

20.

What is the range of the tan-1 graph?

a)

(-∞,∞)

b)

(-π/2, π/2)

c)

(-π/2+2πk, π/2+2πk)

d)

(0+2πk,π+2πk)

21.

Write an equation for the graph.

a)

y = 2sec(x)

b)

y = -2sec(x)

c)

y = 2csc(x)

d)

y = -2csc(x)

22.

Use a calculator to find the degrees to the nearest hundredth of the expression   Cos−1(−35)=Cos^{-1}\left(-\frac{3}{5}\right)=   (a)   .  (Do not enter any words in your answer.)