12.a) Determine an exact value for sin 17pi/12.
b) Determine the answer to part a) using a different method.
So as of now I only know one way to do it.. which is using the compound angle formula. This is what I did:
sin(x+y) = sinxcosy+cosxsiny
sin(2pi/3 + 3pi/4) = sin(2pi/3)cos(3pi/4)+cos(2pi/3)sin(3pi/4)
=(sqr3/2)(-1/sqr2) + (-1/2)(1/sqr2)
=-sqr3/2sqr2 + -1/2sqr2
This is the correct answer. Any ideas on what a second way of finding the exact value of sin 17pi/12 would be? The easier the better haha.