Given that sin α = −3/5 , where α is in the fourth quadrant, and cos β = −12/13 , where β is in the third quadrant, find sin(α - β).

Question

Please explain it with solutions so I can understand.

Answer 1

osα = 4/5 and sinβ = - 5/13

sin(α + β) = sinαcosβ + cosαsinβ = - 12/13(- 3/5) + 4/5(- 5/13) = 16/65 > 0

Answer 2

Asked and answered.