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Warm Up

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 = x 2 b) y = x 3 c) y = cos x Evaluate :

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Warm Up

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  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 Check & Questions

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

  4. Restricted Domain of sine = Range of sine = Domain of arcsin = Range of arcsin =

  5. Will the same restricted domain work for cosine?

  6. Inverse with the calculator… 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

  7. Examples: • 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)

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

  9. Determine the exact value of each of the following

  10. Determine the exact value of each of the following

  11. Determine the exact value of each of the following

  12. Write an expression for the following.

  13. Homework • pg 421 • #1 – 20, 23 – 31 odd, 49 and 51

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