Question

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

Answer 1

See below

Explanation:

`sin(15^@)`

`sin(a-b)= sinacosb-cosasinb`

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

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