Evaluate - tan 2 tan -11-5-4-

Let y=tan{2 tan^ 1 ( 1/5 )+π/4}= tan [ tan^ 1 ( 2/5/1 1/25 )+π/4 ]= tan [ tan^ 15/12+π/4] ...

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General Solution of Trigonometric Equation

Evaluate : ta...

Question

Evaluate : $t a n {2 t a n^{- 1} (\frac{1}{5}) + \frac{π}{4}} .$

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t a n [2 {t a n}^{- 1} (\frac{1}{5}) - \frac{π}{4}]

{sin}^{- 1} \frac{4}{5} + 2 {tan}^{- 1} \frac{1}{3} = \frac{π}{2}

{tan}^{- 1} \frac{1}{7} + 2 {tan}^{- 1} \frac{1}{3} = \frac{π}{4}

{tan}^{- 1} \frac{1}{5} + {tan}^{- 1} \frac{1}{7} + {tan}^{- 1} \frac{1}{3} + {tan}^{- 1} \frac{1}{8} = \frac{π}{4}

{tan}^{- 1} (\frac{1}{4}) + 2 {tan}^{- 1} (\frac{1}{5}) + {tan}^{- 1} (\frac{1}{6}) + {tan}^{- 1} (\frac{1}{x}) = \frac{π}{4}

t a n [2 t a n^{- 1} (\frac{1}{5}) - \frac{π}{4}] =

tan [2 {tan}^{- 1} \frac{1}{5} - \frac{π}{4}] = \dots

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