Download Example 2

Acc. Pre-Calculus
Inverse Functions
Notes 9.2
Definitions of the inverse trigonometric Functions
Function
Domain
Range
y = arcsin x if and only if sin y = x
1  x  1


 y
2
2
y = arccos x if and only if cos y = x
1  x  1
0 y 
y = arc tan x if and only if tan y = x
  x  


 y
2
2
Example 1
Find 2 values of  if
0 <  < 2
Evaluate
1. Sin  = - √ 3
2
6. Arc sin - √ 3
2
2. Cos  = - 1
7. Arc cos –1
3. Tan  = -1
8. Arc tan -1
4. Sin  = √ 2
2
9. Arc sin √ 2
2
5. Cos  = -1
10. Arc cos -1
Example 2
Draw and label a Reference Triangle to find each missing function
1. Given cos  = 3
5
2. Given tan  =
0 <  < π , find csc 
2
-9 , sec  > 0, find sin 
10
3. Given csc  = √ 21 , cos  < 0, find cot 
2
4. Simplify
csc  cos  tan 