Section 4.7 handout ann_1

Section 4.7 handout ann_1 - Section 4.7 Inverse...

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Unformatted text preview: Section 4.7 Inverse Trigonometric Functions, Page 1 Section 4.7 Inverse Trigonometric Functions, Page 1 Section 4.7 Inverse Trigonometric Functions, Page 2 Section 4.7 Inverse Trigonometric Functions, Page 2 1-1 1-1 1-1 Section 4.7 Inverse Trigonometric Functions, Page 3 Section 4.7: InverseTrigonometric Functions 1) Objective 1: The Inverse Sine Function . a. Restrict domain of sine function to [- /2, /2] so that the inverse sine function exists. Range is still [-1, 1] /2- /2 /2- /2 y = sin x y = sin x y = sin-1 x Domain: (- , ) Domain: [- /2, /2 ] Domain: [-1, 1 ] Range: [-1, 1 ] Range: [-1, 1 ] Range: [- /2, /2 ] b. Denoted by: y = sin-1 x or y = arc sin x . c. It means: Find the angle whose sine is x . d. Domain: [-1, 1] Range: [- /2, /2] e. Graph y = sin-1 x using radian mode & window settings: x min = - 1.2 y min = - / 2 .1 x max = 1.2 y max = / 2 + .1 x scale = .25 y scale = / 8 f. Find the angle associated with each sine value. 1. = sin- 1 (0)= ____________ 2. = sin- 1 (1 / 2) = __________ 3. = sin- 1 (- 1) = ____________ 4. = sin- 1 ( 2 / 2) = _________ 5. = sin- 1 (- 1 / 2) = __________ 6. = sin- 1 (- 3 / 2) = _________ Section 4.7 Inverse Trigonometric Functions, Page 3-1.0-0.5 0.5 1.0-/2-/4 /4 /2 1-1 1-1 Section 4.7 Inverse Trigonometric Functions, Page 4...
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This note was uploaded on 04/07/2008 for the course MTH MTH162 taught by Professor Bundick during the Spring '08 term at VCCS.

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Section 4.7 handout ann_1 - Section 4.7 Inverse...

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