Question

यदि A और B. न्यून कोण हो तथा sin A=Cos B तो सिद्ध किजिए कि A+B = 90°

Answer 1

Explanation:

$sin \: A = cos \: B \\ \implies \: sin \: A = sin \: (90 \degree \: - B) \\ ..(\because \: sin \: (90 \degree \: - \theta) = cos \: \theta)\\ \implies \: A = 90 \degree \: - B\\ \implies \: A + B \: = 90 \degree \\ thus \: proved$