If A and B are acute angles such that sin (A – B) = 0 and 2cos(A + B) – 1 = 0, thenA =
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Given:
1. sin(A – B) = 0 ⇒ A – B = 0° ⇒ A = B.
2. 2cos(A + B) – 1 = 0 ⇒ cos(A + B) = 1/2 ⇒ A + B = 60°.
Substitute A = B into A + B = 60°:
2A = 60° ⇒ A = 30°.
This question related to Chapter 8 Mathematics Class 10th NCERT. From the Chapter 8 Introduction to Trigonometry. Give answer according to your understanding.
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