How do you find the exact value of cos(pi/4+pi/3)

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Answered question

2022-09-30

How do you find the exact value of cos ( π 4 + π 3 )?

Answer & Explanation

Haylie Campbell

Haylie Campbell

Beginner2022-10-01Added 13 answers

In order to evaluate cos ( π 4 + π 3 ) we need to use the compound angle formula for cos : cos ( A + B ) cos A cos B sin A sin B
cos ( π 4 + π 3 ) = cos ( π 4 ) cos ( π 3 ) sin ( π 4 ) sin ( π 3 ) = 1 2 1 2 1 2
3 2 = 1 2 2 3 2 2 = 1 3 2 2 = 2 6 4

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