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Evaluate: tan{2t a n^-1 (1/5)-pi/4}...

Evaluate: `tan{2t a n^-1 (1/5)-pi/4}`

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`2 \tan ^{-1} \frac{1}{5}=\tan ^{-1} \frac{1}{5}+\tan ^{-1} \frac{1}{5}`

`=\tan ^{-1} \frac{\frac{1}{5}+\frac{1}{5}}{1-\frac{1}{5} \cdot \frac{1}{5}}=\tan ^{-1} \frac{\frac{2}{5}}{\frac{24}{25}}=\tan ^{-1} \frac{5}{12} `

`\tan (2 \tan ^{-1} \frac{1}{5}-\frac{\pi}{4})div(tan (\tan ^{-1} \frac{5}{12}-\frac{\pi}{4}))`

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