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Question -

[sin x + sin 2x] / [1 + cos x + cos 2x] = tan x



Answer -

Let us consider LHS:

[sin x + sin2x] / [1 + cos x + cos 2x]

We know that, cos 2x = cos2 x– sin2 x

Sin 2x = 2 sin x cos x

So,

= RHS

Hence proved.

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