Question

3) If sin( A - B ) = 1/2,
cos( A + B ) = 1/2, where
0⁰<A+B≤90⁰ and A>B, find A and B.​

Answer 1

Step-by-step explanation:

sin(A-B)=sin 30

A-B=30------(1)

cos(A+B)=cos 60

A+B=60------(2)

solve (1) & (2)

A-B=30

A+B=60

2A=90

A=45

(2)---->A+B=60

45+B=60

B=60-45

B=15

.·. A=45,, B=15