Find the exact value of the following:sin13pi/12 I know i can split it into sin(45+150) but what next???

according to google
sin(13 * pi) / 12 = 0

now on i will use @ to represent pi

sin(13@/12) = sin(@/4 + 5@/6)
=sin(@/4)cos(5@/6) + cos(@/4)sin(5@/6)
=1/sqrt2 * -cos(@/6) + 1/sqrt2 * sin(@/6)
=1/sqrt2 * -1/2 + 1/sqrt2 * (sqrt3)/2
= (sqrt(3) -1) / (2*sqrt2)

I do not know. sin (45)=1/√2. If you split it as
∏+∏/12 , then ∏/12=15 deg, but sin(∏)=0
(a little bit easier). You still have sin(15) which is a fraction.