Use the given information to evaluate cos (a-b).

Cot a = 3/4, cot b = 24/25; pi<a<3pi/2, 3pi/2<b<2pi.

1 answer

since a is in QIII,
sina = -4/5
cosa = -3/5

You sure that's not cos b = 24/25? cot < 0 in QIV. If so, then we have a 7-24-25 triangle.

sinb = 7/25
cosb = 24/25

now just use your difference formula:

cos(a-b) = cosa cosb + sina sinb