Question

Sin(A-B)=1/2;cos(A+B)=1/2; 0°B then find A and B

Answer 1

A=45 degree and B= 15 degree.

Step-by-step explanation:

sin(a-b)=1/2

=>sin(a-b)=sin 30

=>a-b=30-------(1)

and,

cos(a+b)=1/2

=>cos(a+b)=cos 60

=>a+b=60------(2)

(1)+(2), we get,

2a=90

=>a=45-----(3)

and putting a=45 in (2), we get,

=>45+b=60

=>b=15