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Find the set of values of x for which (t...

Find the set of values of x for which `(tan3x-tan2x)/(1+tan3x.tan2x)=1`.

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To solve the equation \(\frac{\tan(3x) - \tan(2x)}{1 + \tan(3x) \tan(2x)} = 1\), we can use the tangent subtraction identity. ### Step-by-step Solution: 1. **Recognize the Identity**: The left-hand side of the equation can be rewritten using the tangent subtraction identity: \[ \tan(a - b) = \frac{\tan a - \tan b}{1 + \tan a \tan b} ...
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