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Chapter 5: Q. 26 (page 464)

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

  • Write tan(2sec鈭�1x)as an algebraic function.

Short Answer

Expert verified

Ans:tan(2sec鈭�1x)=2x2-12-x2

Step by step solution

01

Step 1. Given information:

tan(2sec鈭�1x)

02

Step 2. Finding the algebraic function :

The expression is as follows.

tan(2sec鈭�1x)

The objective is to write the function as an algebraic function :

role="math" localid="1648809301417" tan(2sec鈭�1x)=2(x+1)(x-1)2-x2=2x2-12-x2

Therefore, the value is2x2-12-x2

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