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Prove the Identity (tan⁡x+1)2=1+2sin⁡xcos⁡xcos⁡2x(\tan x+1)^{2}=\frac{1+2 \sin x \cos x}{\cos ^{2} x}

Question 17

Essay

Prove the identity:
(tan⁡x+1)2=1+2sin⁡xcos⁡xcos⁡2x(\tan x+1)^{2}=\frac{1+2 \sin x \cos x}{\cos ^{2} x}

Correct Answer:

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