DLMF:4.21.E29 (Q1731)

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DLMF:4.21.E29
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    tan ( 2 z ) = 2 tan z 1 - tan 2 z = 2 cot z cot 2 z - 1 = 2 cot z - tan z . 2 𝑧 2 𝑧 1 2 𝑧 2 𝑧 2 𝑧 1 2 𝑧 𝑧 {\displaystyle{\displaystyle\tan\left(2z\right)=\frac{2\tan z}{1-{\tan^{2}}z}=% \frac{2\cot z}{{\cot^{2}}z-1}=\frac{2}{\cot z-\tan z}.}}
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