Question

Sin * (x - y) , if sin x = 8/17 cos y = 12/37

Answer 1

Answer:

-429/629

Step-by-step explanation:

Use angle difference formula:

sin(x − y) = sin x cos y − sin y cos x

Assuming x and y are in the first quadrant:

sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)

Plugging in values:

sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)

sin(x − y) = (8/17) (12/37) − (35/37)(15/17)

sin(x − y) = -429/629