   Chapter 8.5, Problem 12SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 9-16, simplify the expression using the trigonometric identities listed in Section 8.2. sin 2 x ( csc 2 x − 1 )

To determine

To calculate: The simplest form of trigonometrical expression of sin2x(csc2x1).

Explanation

Given Information:

The provided trigonometrical expression is sin2x(csc2x1).

Formula used:

The trigonometrical identities:

csc2θ1=cot2θ

And,

cotθ=cosθsinθ

Calculation:

Consider the expression:

sin2x(csc2x1)

Recall the trigonometrical identities.

csc2θ1=cot2θ

And,

cotθ=cosθsinθ

Use the above identities to simplify the provided trigonometrical expression

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