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(tan 2x)/(1+ sec 2x) = tan x...

`(tan 2x)/(1+ sec 2x) = tan x`

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To solve the equation \(\frac{\tan 2x}{1 + \sec 2x} = \tan x\), we will start by simplifying the left-hand side (LHS). ### Step 1: Rewrite LHS using trigonometric identities We know that: \[ \tan 2x = \frac{\sin 2x}{\cos 2x} \quad \text{and} \quad \sec 2x = \frac{1}{\cos 2x} \] Thus, we can rewrite the LHS: ...
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