if sin (a)=0.517 and sin (B)=0.359 with both angles terminal rays in Q1 find the values of 1) cos (B-a) and 2) sin (a-B)

Answer 1

sin (a) = 0.517

cos² (a) = 1 - 0.517²

Determine cos (a)

sin (b) = 0.359

cos² (b) = 1- 0.359²

Determine cos (b)

cos (b - a) = cos (b) cos (a) + sin (b) sin (a)

sin (a - b) = sin (a) cos (b) - cos (a sin (b)