Find the EXACT value of sin ( A + B ) sin ( A + B ) if Tan A=5/12 where A is in Q1 and Cos B=-15/17 where B is in Q2. Assume all angles are measured from standard position.

Answer 1

Solution;

A=tan^-1(5/12)

A= 22.62^o(in Q1)

B=Cos^-1(-15/17)

B= 118.07^o (Q2)

Then

Sin(A+B) = Sin(118.07 + 22.62) = 0.6335 ans