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Question-16788




Question Number 16788 by jyoti5726 last updated on 26/Jun/17
Commented by 1234Hello last updated on 04/Jul/17
tan^(−1)  (√3) = (π/3)  sec^(−1)  (−2) = cos^(−1)  (((−1)/2)) = ((2π)/3)  tan^(−1)  (√3) − sec^(−1)  (−2) = ((−π)/3)
$$\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\mathrm{3}}\:=\:\frac{\pi}{\mathrm{3}} \\ $$$$\mathrm{sec}^{−\mathrm{1}} \:\left(−\mathrm{2}\right)\:=\:\mathrm{cos}^{−\mathrm{1}} \:\left(\frac{−\mathrm{1}}{\mathrm{2}}\right)\:=\:\frac{\mathrm{2}\pi}{\mathrm{3}} \\ $$$$\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\mathrm{3}}\:−\:\mathrm{sec}^{−\mathrm{1}} \:\left(−\mathrm{2}\right)\:=\:\frac{−\pi}{\mathrm{3}} \\ $$

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