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Chapter 5: Q. 20 (page 464)

In Exercises 20鈥�27, use reference triangles and the unit circle to write the given trigonometric compositions as algebraic functions.

cot(sec鈭�1x)

Short Answer

Expert verified

Ans:cot(sec鈭�1x)=1-x2x

Step by step solution

01

Step 1. Given information: 

cot(sec鈭�1x)

02

Step 2. Finding the integrals using trigonometric substitution:

The reference triangle is as follows:

So,cot(sec-1x)=cotu=adjopp=1-x2x

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