Question

If Sin ( A - B) = 1/2 and Cos ( A + B) = 1/2, find A and B.​

Answer 1

Step-by-step explanation:

Sin(A-B)=1=2

Sin(A-B)=sin30⁰

A-B=30 , A=30+B

Cos(A+B)=1/2

Cos(A+B)=Cos60⁰

A+B=60⁰

30+B+B=60

30+2B=60

2B=30

B=15⁰

A=30+B=30+15=45⁰

A=45⁰ B=15⁰