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Explain how to know when to use the trigonometric substitutions x=asinu,x=atanu,andx=asecu, 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

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=sinuinstead of x=cosu.

Step by step solution

01

Step 1. Given information.

given,

x=asinu,x=atanu,andx=asecu

02

Step 2. Solution:- 

In terms of the Pythagorean identity, sine and cosine behave the same way. That's why we can always use x=sinuinstead of x=cosu.

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