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

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if `2tanbeta+cotbeta=tanalpha` then prove that `cotbeta=2tan(alpha-beta)` if `2tanbeta+cotbeta=tanalpha` then prove that `cotbeta=2tan(alpha-beta)`
if `2tanbeta+cotbeta=tanalpha` then prove that `cotbeta=2tan(alpha-beta)` if `2tanbeta+cotbeta=tanalpha` then prove that `cotbeta=2tan(alpha-beta)`
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