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The value of (2sinx)/(sin3x)+(tanx)/(tan...

The value of `(2sinx)/(sin3x)+(tanx)/(tan3x)` is________.

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To solve the expression \(\frac{2 \sin x}{\sin 3x} + \frac{\tan x}{\tan 3x}\), we will use the trigonometric identities for \(\sin 3x\) and \(\tan 3x\). ### Step-by-Step Solution: 1. **Use the Identity for \(\sin 3x\)**: \[ \sin 3x = 3 \sin x - 4 \sin^3 x \] ...
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