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Solve-it-2-tan-1-1-t-1-t-tan-1-1-t-tan-1-t-tan-1-1-t-2-




Question Number 166017 by naka3546 last updated on 11/Feb/22
Solve  it !    2 tan^(−1)  (√((1−t)(1+t))) − tan^(−1) (1−t) = tan^(−1)  t − tan^(−1)  (√(1−t^2 ))
$$\mathrm{Solve}\:\:\mathrm{it}\:! \\ $$$$\:\:\mathrm{2}\:\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\left(\mathrm{1}−{t}\right)\left(\mathrm{1}+{t}\right)}\:−\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{1}−{t}\right)\:=\:\mathrm{tan}^{−\mathrm{1}} \:{t}\:−\:\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\mathrm{1}−{t}^{\mathrm{2}} } \\ $$

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