4 7 Inverse Trigonometric Functions Copyright 2011 Pearson
- Slides: 19
4. 7 Inverse Trigonometric Functions Copyright © 2011 Pearson, Inc.
What you’ll learn about n n Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric and Inverse Trigonometric Functions Applications of Inverse Trigonometric Functions … and why Inverse trig functions can be used to solve trigonometric equations. Copyright © 2011 Pearson, Inc. 2
Inverse Sine Function ����� � Copyright © 2011 Pearson, Inc. ������ �– 1�� 3
Inverse Sine Function (Arcsine Function) Copyright © 2011 Pearson, Inc. 4
Example Evaluate sin– 1 x Without a Calculator Copyright © 2011 Pearson, Inc. 5
Example Evaluate sin– 1 x Without a Calculator Copyright © 2011 Pearson, Inc. 6
Example Evaluate sin-1 x Without a Calculator Copyright © 2011 Pearson, Inc. 7
Example Evaluate sin-1 x Without a Calculator Copyright © 2011 Pearson, Inc. 8
Inverse Cosine (Arccosine Function) ���� c os�� Copyright © 2011 Pearson, Inc. ���� cos– 1�� 9
Inverse Cosine (Arccosine Function) Copyright © 2011 Pearson, Inc. 10
Inverse Tangent Function (Arctangent Function) ���� ta ��� Copyright © 2011 Pearson, Inc. ���� ta� – 1�� 11
Inverse Tangent Function (Arctangent Function) Copyright © 2011 Pearson, Inc. 12
End Behavior of the Tangent Function The graphs of (a) y = tan x (restricted) and (b) y = tan– 1 x. The vertical asymptotes of y = tan x are reflected to become the horizontal asymptotes of y = tan– 1 x. Copyright © 2011 Pearson, Inc. 13
Composing Trigonometric and Inverse Trigonometric Functions Copyright © 2011 Pearson, Inc. 14
Example Composing Trig Functions with Arccosine Copyright © 2011 Pearson, Inc. 15
Example Composing Trig Functions with Arccosine ���� a triangle in which = cos – 1 x. The side opposite (which is sin ) is found by using the Pythagorean Theorem. Copyright © 2011 Pearson, Inc. 16
Example Composing Trig Functions with Arccosine Copyright © 2011 Pearson, Inc. 17
Quick Review Copyright © 2011 Pearson, Inc. 18
Quick Review Solutions Copyright © 2011 Pearson, Inc. 19
- 4-6 practice inverse trigonometric functions
- Arctan derivatives
- Integration of inverse trigonometric functions
- Inverse circular functions and trigonometric equations
- Exponential rule integral
- Characteristics of inverse functions
- Laplace transform of impulse
- Summary of inverse trigonometric functions
- Domain and range of inverse trigonometric functions
- Cos-1a + cos-1b formula
- Pearson education 2011
- 2011 pearson education inc
- 2011 pearson education inc
- 2011 pearson education inc
- 2011 pearson education inc
- 2011 pearson education inc
- 2011 pearson education inc
- Pearson education 2011
- 2011 pearson education inc
- 2011 pearson education inc