February 6, 2012 At the end of today, you will be able to understand inverse trig functions. Warm-up: Trig Review without a calculator. 1.2.3.

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February 6, 2012 At the end of today, you will be able to understand inverse trig functions. Warm-up: Trig Review without a calculator

Lesson 4.7 Inverse Trig Functions Definitions of the Inverse Trigonometric Functions y = arcsin x if and only if sin y = x - Domain -1 ≤ x ≤ 1; Range y = acrcos x if and only if cos y = x - Domain -1 ≤ x ≤ 1; Range 0 ≤ y ≤ π y = arctan x if and only if tan y = x - Domain -∞ < x ∞; Range

Tomato, tomahto? Same thing! Example 1: Find the exact value for each: Keep the range in mind for each function! a) b)c) Range 0 ≤ y ≤ π

Evaluating Compositions of Functions Example 2: Find the exact value. Practice: 1.2. Work from the inside out. Use right triangle trigonometry to find the missing leg. u 2 3 √5 Let u = arccos 2/3

Practice Together Evaluate the expression Use a right triangle to help without using a calculator. evaluate the expression. 1.arcsin arccos

HW 4.7 Pg. 349 #1-15odd, odd

Valentine’s Extra Credit Heart on Graphing Calculator Draw a heart on your graphing calculator that will make the bottom at the origin. Give me the equation/s you typed in and show your work to get full credit.