How do you find the exact value of the expression sin(pi/12)cos(pi/4)+cos(pi/12)sin(pi/4)

kriauklasvt

kriauklasvt

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2022-08-30

How do you find the exact value of the expression sin ( π 12 ) cos ( π 4 ) + cos ( π 12 ) sin ( π 4 )?

Answer & Explanation

ce1ret3i

ce1ret3i

Beginner2022-08-31Added 12 answers

sin ( π 12 ) cos ( π 4 ) + cos ( π 12 ) sin ( π 4 )
we use
sin ( α + β ) = sin α cos β + sin β cos α
comparing this with the question we have
sin ( π 12 + π 4 )
= sin ( 4 π 12 ) = sin ( π 3 ) = 3 2

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