Question

sin (A-B) = 1/2,cos (A+B) = 1/2 then A=?
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Answer 1

✪Given :

➭ sin (A-B) = 1/2

➭ cos ( A+B) =1/2

✪ To Find :

➭ The value of A

✪ Solution :

We know that, sin 30° = 1/2

Therefore,

sin (A-B) = sin 30°

➯ ( A-B) = 30°.............. (eq 1)

Again, cos 60° = 1/2

Therefore,

cos (A+B) = cos 60°

➯ ( A+B) = 60°........ (eq 2)

Adding 1 & 2 eq _______

A-B+A+B = 60° +30°

➯ A =45°

✧ Thanks for asking ✧

Answer 2

Answer:

A=45

by using squaring and multiple angle formula