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

  3. Restricted Domain of sine = Range of sine = Domain of arcsin = Range of arcsin = Ex: Find arcsin(-½)

  4. Will the same restricted domain work for cosine?

  5. Examples: • 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) 8)

  6. Use your calculator to find the approximate value of… • arcsin(-0.258) • arctan(28.3)

  7. Determine the exact value of each of the following

  8. Determine the exact value of each of the following

  9. Determine the exact value of each of the following

  10. Write an expression for the following.

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