Question

find the value of A and B
Please solve this question​

Answer 1

EXPLANATION.

⇒ sin(A - B) = 1/2. - - - - - (1).

⇒ cos(A + B) = 0. - - - - - (2).

As we know that,

⇒ sin(A - B) = sin(30°). - - - - - (1).

⇒ cos(A + B) = cos(90°). - - - - - (2).

We can write equation as, we get.

⇒ A - B = 30°. - - - - - (1).

⇒ A + B = 90°. - - - - - (2).

We get,

⇒ 2A = 120°.

⇒ A = 60°.

Put the value of A = 60° in equation (2), we get.

⇒ 60° + B = 90°.

⇒ B = 90° - 60°.

⇒ B = 30°.

Value of A = 60° & B = 30°.