How do you find the angle of the sum and difference identities to simplify sin15?

1 Answer
Jul 23, 2018

See below

Explanation:

sin(15^@)sin(15)

sin(a-b)= sinacosb-cosasinbsin(ab)=sinacosbcosasinb

sin(60^@-45^@)= sin(60^@)cos(45^@)-cos(60^@)sin(45^@)=sin(6045)=sin(60)cos(45)cos(60)sin(45)=

sin(60^@-45^@)= sqrt3/2*sqrt2/2-1/2*sqrt2/2= (sqrt6-sqrt2)/4sin(6045)=32221222=624