1. Warm Up
Let g(x) = {(1, 3), (2, 5), (4, 10), (-3, 7)}. What is g -1(x)?
Write the inverse of the function: f(x) = 2x – 3
Determine whether the function is one-to-one.
a) y = x2 b) y = x3 c) y = cos x
Evaluate:
(a) cos (π/6) (b) cos (5π/6) (c) cos (-π/6)
(d) sin(π/3) (e) sin (-π/3) (f) sin (2π/3)

2. Homework Answers

3. Homework Answers

4. Homework Answers

5. Homework Answers

6. Inverse Trig Functions
Relate the concept of inverse functions to trig functions

7. Restricted Domain of sine = Range of sine = Domain of arcsin = Range of arcsin = Ex: Find arcsin(-½)
Domain (Question):
Range (Answer):

8. Will the same restricted domain work for cosine?

9. Your Turn Determine the exact value of each of the following.
1) arccos (-1/2) = 2) arcsin (-1/2) =
3) arccos (0) = 4) arcsin (0) =
5) arccos (-1) = 6) arcsin (-1) =
7) )

10. Function Domain (questions) Range (answers)
Summary
Function
Domain (questions)
Range (answers)
y = arcsin x
-1 < x < 1
-π/2 < y < π/2
y = arctan x
(-∞, ∞)
y = arccsc x
|x| > 1
-π/2 < y < π/2,
y ≠ 0
y = arccos x
0 < y < π
y = arccot x
y = arcsec x
y ≠ π/2

11. Determine the exact value of each of the following

12. Determine the exact value of each of the following

13. Determine the exact value of each of the following

14. Write an expression for the following.

15. Use your calculator to find the approximate value of…
arcsin(-0.258)
arctan(28.3)
arcsec (-3)