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Chapter 7: Q. 26 (page 503)

In Problems 26 and 27, write each trigonometric expression as an algebraic expression in u.

cossin-1u

Short Answer

Expert verified

The expression in terms of u is1-u2.

Step by step solution

01

Step 1. Given Information

The given expression is cossin-1u.

We have to write the trigonometric expression as an algebraic expression inu.

02

Step 2. Writing the expression in u

To write the expression, let x=sin-1u

So, sinx=u

Now, use the identity

role="math" localid="1646567357862" sin2x+cos2x=1cos2x=1-sin2x

If

u=sinxu2=sin2x

Thus,

cos2x=1-u2cosx=1-u2cossin-1u=1-u2

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Most popular questions from this chapter

In Problems 9鈥�36, find the exact value of each expression.

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