Math, asked by gauraviprajapati2702, 16 hours ago

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

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Answered by sagittarius93
0

Step-by-step explanation:

A=45°

B=15°.

HOPE MY ANSWERS ARE CORRECT

Answered by amansharma264
34

EXPLANATION.

⇒ sin(A - B) = 1/2. - - - - - (1).

⇒ cos(A + B) = 1/2. - - - - - (2).

As we know that,

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

⇒ cos(A + B) = cos(60°). - - - - - (2).

We can write equation as, we get.

⇒ A - B = 30°. - - - - - (1).

⇒ A + B = 60°. - - - - - (2).

We get,

⇒ 2A = 90°.

⇒ A = 45°.

Put the value of A = 45° in equation (2), we get.

⇒ 45° + B = 60°.

⇒ B = 60° - 45°.

⇒ B = 15°.

Values of A = 45° & B = 15°.

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