Invtrigworksheet.doc

Inverse Trig Worksheet 1. Find the EXACT value of the following a) Sin 1

3 = _____ 2

b) Cos 1

3 = _____ 2

c) Tan 1

3 = 3

______ 3 2 ) = ____ e) Sin 1 (  ) = ____ 2 2 2 1  g) Cos 1 ( ) = _____ h) Cos ( )  ____ 2 2

f) Tan 1 ( 3 ) = _____

d) Cos 1 (

2.

i) Tan 1 ( 1) = _____

Find the EXACT value of the following

a) cos( Sin 1  c) sec(Tan 1 ( 

3 ) = _____ 2

b) cot(Cos 1 (

3 )) = _____ 2

1 3 1 )) = ______ d) cos(Cos (  )) = ______ 2 3 1 2

e) sin( Sin 1 (  )) = ____

1 3

e) sin( Sin 1 ( )) = ______

3. Find the EXACT value of the following  a) Sin 1 (sin( )) = ______ 3

c) Sin 1 (sin(

4 )) = ______ 3

d) Cos 1 (sin(

3 )) = ____ 4

f) Sin 1 (sin(

e) Sin 1 (sin( g) Tan 1 tan(

b) Cos 1 (cos(

2 )) 3

i) Cos 1 (cos( k) Sin 1 (sin(



= _____

19 )) = _____ 6

h) Cos 1 (cos(

 5 )) = _____ 4

j) Tan 1 (tan(

7 )) = _____ 6

l) Tan 1 (tan(

m) Sin 1 (sin( 2)) = _______

5 )) = ______ 6

7 )) = ______ 6

)) = _____

3

4 )) = _____ 3

13 )) = ______ 3

n) Cos 1 (cos(4)) = ______

4. Find the EXACT value of the following. 3 5

1 a) cos( Sin ( )) = _____

c) sec(Tan 1 (4)) = ______

1 5

1 e) tan( Sin ( )) = ____

2 3

1 b) cot(Cos ( )) = _____

d) csc(Cos 1 (

5 )) = ______ 13

1 3

1 e) csc(Tan ( )) = ______

5. Simplify the following completely. 1 a) sec( Sin (

4x )) = _____ 5

1 b) csc(Cos (

2 x

1 d) cot(Cos (

1 c) sec(Tan ( )) = ______

2x )) = _____ 3

12 x )) = ______ 13

6. State the domain and range of each of the following functions. What type of value is the input? What type of value is the output?

Domain Input

Range

output

y  sin 1 x y  cos 1 x y  tan 1 x

7. True or False. If the statement is false, correct it so it is true. a) Cos 1 (cos( x))  x

T /F

b) Sin 1 (sin( x))  x

T /F

c) Tan 1 (tan( x))  x

T /F

d) cos(Cos 1 ( x))  x

T /F

8. Find the EXACT value of the following 1 a) Sin (sin( 35 )) = _______

1 b) Cos (cos( 75 )) = __________

1 c) Sin (sin( 75 )) = _______

1 d) Cos (cos( 85 )) = __________

1 e) Sin (sin( 58 )) = _______

1 f) Cos (cos( 118 )) = __________

1 g) Sin (sin(  5 )) = _______

1 h) Cos (cos( 5 )) = __________