(a) If sinA=1213 and sinB=45, where π2<A<π and 0<B<π2, find the fol – InterviewSolution

1.	(a) If sinA=1213 and sinB=45, where π2<A<π and 0<B<π2, find the following: (i) sin(A+B) (ii) cos(A+B) (b) If sinA= 35, cosB=1213, where A and B both lie in second quadrant, find the value of sin(A+B).
Answer» (a) If $s i n A = \frac{12}{13}$ and $s i n B = \frac{4}{5},$ where $\frac{π}{2} < A < π$ and $0 < B < \frac{π}{2},$ find the following: (i) sin(A+B) (ii) cos(A+B) (b) If sinA= $\frac{3}{5}$ , $c o s B = \frac{12}{13}$ , where A and B both lie in second quadrant, find the value of sin(A+B).

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