Find the exact value of the trigonometric expression when sin(u)= -12/13 and cos(v)= -3/5 (Both u and v are in quadrant 3). tan(u+v)

Question

 I have tried to solve using the sum formula but I can't get the correct answer. It has to be as a fraction.

Answer 1

Draw and label a diagram!

tan u = 5/12

tan v = 3/4

 

tan (u + v) = (5/12 + 3/4) / (1 - (5/12)(3/4))

 

Can you complete?