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?For the following exercises, find the exact value of each expression.\(\cos \left(\cos

Chapter 9, Problem 23

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QUESTION:

For the following exercises, find the exact value of each expression.

\(\cos \left(\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)+\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)\right)\)

Text Transcription:

cos (cos^-1 (sqrt 2 / 2) + sin^-1 (sqrt3 / 2)))

Questions & Answers

QUESTION:

For the following exercises, find the exact value of each expression.

\(\cos \left(\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)+\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)\right)\)

Text Transcription:

cos (cos^-1 (sqrt 2 / 2) + sin^-1 (sqrt3 / 2)))

ANSWER:

Step 1 of 3

Let . Then we get:

Using Pythagorean identities we get:

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