Question

if cos (A+B) =1/2 and sin (A-B)=1/2 , then find the value of A and B where A and B are acute angle

Answer 1

Answer:

Cos(A + B) = 1/2 , Sin(A - B) = 1/2

Cos(A + B) = Cos 60° , Sin(A - B) = Sin 30°

A + B = 60 _(i) , A - B = 30 _(ii)

Subtract (i) & (ii)

Then we get, B = 15°

A + B = 60

A + 15 = 60

A = 45°

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