find the value of A and B please solve this question
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Step-by-step explanation:
A=45°
B=15°.
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Answered by
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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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