Question

sin(A-B)=1/2,cos(A+B)=1/2.
find the value of A and B​

Answer 1

Answer:

sin(A-B)=sin30(as sin30=1/2)

so, A-B=30

again cos(A+B)=cos60(as cos60 =1/2)

so,A+B=60

Therefore, A=45

and B=15

Hope this will help you

Answer 2

Step-by-step explanation:

sin (A-B) = 1/2

sin (A-B)=sin 30 °

therefore

A- B = 30 ° —1

cos (A + B ) = 1/2

cos (A+ B ) = cos 60°

therefore

A+ B = 60° —2

From eq 1 And 2

A- B = 30

A+ B = 60

2A = 90

A = 90 / 2

A = 45

putting A = 60 in eq 2

45 + B = 60

B = 60 — 45

B = 15

A = 45 , B=15