1 + Cos A + cos 2A / sin A + sin 2A = cotA
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Answered by
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Answer:
cot A
Step-by-step explanation:
L.H.S,
= (1 + cos A + cos 2A) / ( sin A + sin 2A)
= [(1 + cos 2A) + cos A] / (sin A + 2 sin A cos A)
= (2 cos^2 A + cos A) / [sin A (1 + 2 cos A)]
= cos A (2 cos A + 1) / sin A (1 + 2 cos A)
= cos A / sin A
= cot A
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