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Chapter 7: Q 63. (page 458)

In Problem, write each trigonometric expression as an algebraic expression in u.

role="math" localid="1646564118882" coscsc-1u

Short Answer

Expert verified

Trigonometric expression coscsc-1uas an algebraic expression in u is given byu2-1u

Step by step solution

01

Step 1. Given information

An expression is coscsc-1u.

02

Step 2. Value of the expression in terms of u.

Consider the expression coscsc-1u.

Let csc-1u=x.

u=cscx

Consider the following figure:

Side adjacent to angle x=u2-1

So,

localid="1646564428007" cosx=u2-1ux=cos-1u2-1u

So,

coscsc-1u=coscos-1u2-1u=u2-1u

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