1. Let g(x) = {(1, 3), (2, 5), (4, 10), (-3, 7)}. What is g-1(x)?

2. Write the inverse of the function: f(x) = 2x – 3

3. Determine whether the function is one-to-one. a) y = x2 b) y = x3 c) y = cos x

4. 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)

Warm Up

Homework Check & Questions

Inverse Trig Functions

Relate the concept of inverse functions to trig functions

RestrictedDomain of sine =

Range of sine =

Domain of arcsin =

Range of arcsin =

Will the same restricted domain work for cosine?

Sinx = 0.25

Sinx = 3/5

Sinx = 9/2

Sinx = -1/6

Sinx = -0.88

Cosx = 0.45

Cosx = 2/7

Cosx = -0.16

Cosx = -4/9

Cosx = 1.3

Inverse with the calculator…

Determine the exact value of each of the following (No Calc!)1) arccos (-1/2) = 2) arcsin (-1/2) = 3) arccos (0) = 4) arcsin (0) = 5) arccos (-1) = 6) arcsin (-1) =

7) 8)

Examples:

Complete the table using the unit circle. Rationalize all denominators.

Determine the exact value of each of the following

Determine the exact value of each of the following

Determine the exact value of each of the following

Write an expression for the following.

sin arccot(5x)

xtan arccos

3

1csc tan (x)

pg 421 ◦#1 – 20, 23 – 31 odd, 49 and 51

Homework