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Question Number 28648 by tawa tawa last updated on 28/Jan/18

If  θ  =  log_e [tanh(((3π)/8))] ,   Prove that       3tanh(2θ) = 2(√2)

$$\mathrm{If}\:\:\theta\:\:=\:\:\mathrm{log}_{\mathrm{e}} \left[\mathrm{tanh}\left(\frac{\mathrm{3}\pi}{\mathrm{8}}\right)\right]\:,\:\:\:\mathrm{Prove}\:\mathrm{that}\:\:\:\:\:\:\:\mathrm{3tanh}\left(\mathrm{2}\theta\right)\:=\:\mathrm{2}\sqrt{\mathrm{2}} \\ $$

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