If sinA = $$\frac{4}{5}$$ and sinB = $$\frac{{15}}{{17}},$$ what is the value of sin(A - B)?
A. $$ - \frac{{32}}{{45}}$$
B. $$ - \frac{{13}}{{85}}$$
C. $$\frac{{13}}{{85}}$$
D. $$\frac{{32}}{{45}}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \sin A = \frac{4}{5},\,\cos A = \frac{3}{5} \cr & \sin B = \frac{{15}}{{17}},\,\cos B = \frac{8}{{17}} \cr & \sin \left( {A - B} \right) \cr & = \sin A.\cos B - \cos A.\sin B \cr & = \frac{4}{5} \times \frac{8}{{17}} - \frac{3}{5} \times \frac{{15}}{{17}} \cr & = \frac{{32}}{{85}} - \frac{{45}}{{85}} \cr & = - \frac{{13}}{{85}} \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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