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How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#?

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sankarankalyanam

Mar 20, 2018

#:. sin 45 cos 15 + cos 45 sin 15 = sin (45 + 15) = sin 60 = sqrt 3/2#

Explanation:

#sin 45 cos 15 + cos 45 sin 15#

It is in the form #sin a cos b + cos a sin b#

But we know #sin (a + b) = sin a cos b + cos a sin b#

#:. sin 45 cos 15 + cos 45 sin 15 = sin (45 + 15) = sin 60 = sqrt 3/2#

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