Find the exact value of the trigonometric function given tha

Find the exact value of the trigonometric function given that sin u=cot(v - u) Use the figure to find the exact value of the trigonometric function. sin(alpha + beta)

Solution

2) sin(a+b) = sinacosb +cosasinb

sina = opp/hyp = 15/39 = 5/13

cosa = adj/hyp = 36/39 = 12/13

sinb = 9/15 = 3/5

cosb = 12/15 = 4/5

sin(a+b) = 20/65 + 36/65 = 56/65