In Exercises 1151, prove the identity.1x sin a + y cos a22

Chapter 5, Problem 5.1.1.149

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QUESTION:

In Exercises 11–51, prove the identity.

\((x \sin \alpha+y \cos \alpha)^{2}+(x \cos \alpha-y \sin \alpha)^{2}=x^{2}+y^{2}\)

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QUESTION:

In Exercises 11–51, prove the identity.

\((x \sin \alpha+y \cos \alpha)^{2}+(x \cos \alpha-y \sin \alpha)^{2}=x^{2}+y^{2}\)

ANSWER:

Step 1 of 2

We start with the LHS

First we recognize expression for the square of sum

and the square of difference

We implement that in the task

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