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Chapter 7: Q. 81 (page 475)

Establish each identity.

sin3胃+cos3胃sin胃+cos胃=1-sin胃cos胃

Short Answer

Expert verified

The left side of the given equation has been simplified to bring the right side.

Step by step solution

01

Step 1. Given Information

The given equation issin3胃+cos3胃sin胃+cos胃=1-sin胃cos胃

02

Step 2. Calculation 

Consider the left side of the given equation and simplify to bring the right side in order to establish the equation.

sin3胃+cos3胃sin胃+cos胃=(sin胃+cos胃)(sin2胃-sin胃cos胃+cos2胃)sin胃+cos胃=sin2胃-sin胃cos胃+cos2胃=1-sin胃cos胃

Hence, Proved

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Most popular questions from this chapter

solve each equation on the interval

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Establish each identity.

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