Question

Find the EXACT value of sin(A−B) if sin A = 15/17 ,cos A = 8/17 , sin B = 3/5 , and cos B = 4/5. sin(A−B)=

Answer 1

Value of sin(A - B) is 0.48

Explanation:

• Step 1: Given details are sin A = 15/17, cos A = 8/17, sin B = 3/5, cos B = 4/5. Formula for sin(A - B) = sin A cos B - cos A sin B
• Step 2: Find sin(A - B) using the formula.

⇒ sin(A - B) = (15/17 × 4/5) - (8/17 × 3/5)

⇒ sin(A - B) = 60/75 - 24/75 = 36/75 = 0.48