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

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Answer 1 · 2018-03-20T03:13:39

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

$sin 45 cos 15 + cos 45 sin 15$

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

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

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

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