How do you express sin(π12)cos(3π8) without products of trigonometric functions?

1 Answer
Mar 24, 2016

sin(π12)cos(3π8)

=(12)(sin(11π24)sin(7π24))

Explanation:

Use these identities to simplify this kind of product:

sin(a)sin(b)

=(12)(cos(ab)cos(a+b))

sin(a)cos(b)

=(12)(sin(a+b)+sin(ab))

=(12)(sin(a+b)sin(ba))

cos(a)cos(b)

=(12)(cos(a+b)+cos(ab)