Q. 8 Explain how to know when to use ... [FREE SOLUTION]

Chapter 5: Q. 8 (page 464)

Explain how to know when to use the trigonometric substitutions $x = a \sin 鈦� u, x = a \tan 鈦� u, a n d x = a \sec 鈦� u$ , Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for $x$ and $u$ in each case?

Short Answer

Expert verified

Ans: In the term of the Pythagorean identity, sine and cosine behave the same way. That's why we can always use $x = \sin u$ instead of $x = \cos u$ .

Step by step solution

Step 1. Given information.

given,

$x = a \sin 鈦� u, x = a \tan 鈦� u, and x = a \sec 鈦� u$

Step 2. Solution:-

In terms of the Pythagorean identity, sine and cosine behave the same way. That's why we can always use $x = \sin u$ instead of $x = \cos u$ .

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Explain how to know when to use the trigonometric substitutions $x = a \sin 鈦� u, x = a \tan 鈦� u, a n d x = a \sec 鈦� u$ , Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for $x$ and $u$ in each case?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solution:-

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91影视

Explain how to know when to use the trigonometric substitutions x=asin鈦�u,x=atan鈦�u,andx=asec鈦�u, Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for xand uin each case?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solution:-

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Explain how to know when to use the trigonometric substitutions $x = a \sin 鈦� u, x = a \tan 鈦� u, a n d x = a \sec 鈦� u$ , Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for $x$ and $u$ in each case?