trig
posted by Natash on .
Give exact answers
Sin(11pi/8)
so this is sin(pi/4+pi/3)
sin(pi/4)*cos(pi/3)+cos(pi/3)*sin(pi/4)
rad2/2*1/2+1/2*rad2/2
which gives me rad2+rad2 all over 4 ...i don't know y im getting it wrong

pi/4 + pi/3 does NOT equal 11 pi/8
It equals 7 pi/12
sin (11pi/8) = sin3pi/8
= sin[(1/2)3pi/4]
Now use the "sine half angle" formula
= sqrt[(1/2)(1cos3pi/4)]
= sqrt[(1/2)(1+(sqrt2)/2)]