Question

If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A +

Q: Answer-If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).

We are given sin A 35. Using the Pythagorean identity cos A 1 - sinA 1 - 35 1 - 925 1625 45. Similarly, we are given cos B 45. Using the Pythagorean identity sin B 1 - cosB 1 - 45 1 - 1625 925 35. Using the formula for sinA B sinA B sin A cos B cos A sin B. sinA B 3545 4535 1225 1225 2425 0.96. Correct answer a 0.96