1. 4.7 Inverse Trigonometric Functions
Bellwork
Use your unit circle to find the possible values of 
Keep the unit circle handy for reference during today’s notes
Talk about there being more than one answer for each
Precalculus
4.7 Inverse Trigonometric Functions

2. 4.7 Inverse Trig Functions
Objectives:
Identify the domain and range of the inverse trigonometric functions
Use inverse trig functions to find angles
Evaluate combinations of trig functions

3. 4.7 Inverse Trigonometric Functions
Calculator Practice
Use your calculator to evaluate the three problems from bellwork
Do the calculator answers match your answers from the unit circle?
Talk about radian mode vs degree mode
Talk about finding more than one answer on the unit circle
Precalculus
4.7 Inverse Trigonometric Functions

4. Inverse Sine Function: Arcsin
The calculator can’t display two values
In order to be a function, each input can only have one output
Look at unit circle together
Precalculus
4.7 Inverse Trigonometric Functions

5. 4.7 Inverse Trigonometric Functions
The inverse sine graph
Precalculus
4.7 Inverse Trigonometric Functions

6. Inverse Cosine Function: Arccos
Look at unit circle
Precalculus
4.7 Inverse Trigonometric Functions

7. 4.7 Inverse Trigonometric Functions
Example
Precalculus
4.7 Inverse Trigonometric Functions

8. 4.7 Inverse Trigonometric Functions
Example
Find the exact value.
Precalculus
4.7 Inverse Trigonometric Functions

9. 4.7 Inverse Trigonometric Functions
Example
Find the exact value (when possible)
Arctan (-5) is ok
5pi/3 is not doable, but it is coterminal with -pi/3 which is
Pi is not in the domain of the inverse cosine
Precalculus
4.7 Inverse Trigonometric Functions

10. 4.7 Inverse Trigonometric Functions
Example
Find the exact value of  x y
Place triangle based on properties of inverse function
Precalculus
4.7 Inverse Trigonometric Functions

11. 4.7 Inverse Trigonometric Functions
Example
Find the exact value of  x y
Place triangle based on properties of inverse function
Precalculus
4.7 Inverse Trigonometric Functions

12. 4.7 Inverse Trigonometric Functions
Assignments
Classwork (You Try)
Label assignment CW 4.7
Pg. 351: #5-15 odd, odd, odd, 71
Homework
Label assignment HW 4.7
Pg. 351: #24, 26,32, 48, 56 (full write-up), 72, all
Precalculus
4.7 Inverse Trigonometric Functions