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If 2tanbeta+cotbeta=tanalpha , prove tha...

If `2tanbeta+cotbeta=tanalpha` , prove that `cotbeta=2tan(alpha-beta)dot`

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To prove that \( \cot \beta = 2 \tan(\alpha - \beta) \) given that \( 2 \tan \beta + \cot \beta = \tan \alpha \), we will follow these steps: ### Step 1: Rewrite the given equation Start with the equation: \[ 2 \tan \beta + \cot \beta = \tan \alpha \] We can rewrite \( \cot \beta \) in terms of \( \tan \beta \): ...
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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
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  3. If 2tanbeta+cotbeta=tanalpha , prove that cotbeta=2tan(alpha-beta)dot

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