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Question -

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



Answer -

Let us consider LHS:

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

We know that, cos 2x = 1 – 2 sin2 x

= 2 cos2 x – 1

Sin 2x = 2 sin x cos x

So,

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