Question 872313
tan B=-(5/12)

tan^2B= 25/144

Sec^2B-1=25/144

cos^2B= 144/25

cos B = 12/5

cos A=(15/17)

cos^2A- 225/289

1-sin^2A= 225/289

1-225/289 = sin^2A

64/289 = sin^2A

-8/17 = sinA  ( IV quadrant)

Sin (A+B) = = sinacosb + cosasinb


just plug in the values