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Prove that tan(π/4 + x) = 1 + tanx/1 - tanx

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Prove that

tan(π/4 + x) = 1 + tanx/1 - tanx

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In this question the following formulas will be used:

tan(A + B) = \(\frac{tanA\,+\,tanB}{1-\,tanA\,tanB}\)

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