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What is the value of sin A cos A tan A + cos A sin A cot A ? (a) sin2A + cos A (b) sin2A + tan2 A (c) sin2A + cot2 A (d) cosec2A – cot2 A |
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Answer» (d) cosec2 A – cot2 A. sin A cos A tan A + cos A sin A cot A = sin A cos A . \(\frac{sin\,A}{cos\,A}\) + cos A sin A \(\frac{cos\,A}{sin\,A}\) = sin2 A + cos2 A = 1 = cosec2 A – cot2 A. |
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