Question

if sin(A+B) =√3/2 and cos(A-B) =√3/2then A​

Answer 1

Answer:

A = 45

Step-by-step explanation:

sin(A+B) =√3/2

sin(A+B) = sin60     (as sin60 is√3/2)

SO, A + B = 60    (1)

cos(A-B) =√3/2

cos(A-B) = cos30

SO, A - B = 30     (2)

Adding equations (1) and (2)

A + B + A - B = 60 + 30

2A = 90

So, A = 45 and B = 15