If sinA = 4/5 and sinB = 1517, what is the value of sin(A - B)?

Answer: Option B

$$\begin{array}{rl}& \sin A=\frac{4}{5},\cos A=\frac{3}{5}\\ & \sin B=\frac{15}{17},\cos B=\frac{8}{17}\\ & \sin \left(A-B\right)\\ & =\sin A.\cos B-\cos A.\sin B\\ & =\frac{4}{5}\times \frac{8}{17}-\frac{3}{5}\times \frac{15}{17}\\ & =\frac{32}{85}-\frac{45}{85}\\ & =-\frac{13}{85}\end{array}$$