Use the given information to evaluate sin (a-b). Exact answers. No decimals.

Question

Sin a = -7/25, cot b = 8/15; neither a nor b are in quadrant III.

Answer 1

since no QIII angles, a is in QIV and b is in QI

sina = -7/25
cosa = 24/25

sinb = -15/17
cosb = -8/17

now just evaluate

sin(a-b) = sina cosb - cosa sinb