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tan-1-2-tan-1-3-cosec-1-x-then-x-is-equal-to-a-4-b-2-d-2-d-none-of-these-




Question Number 39337 by LX Z last updated on 05/Jul/18
tan^(−1)  2 + tan^(−1)  3=cosec^(−1) x  ,then  x  is  equal  to   (a)   4                      (b)  (√2)    (d) −(√2)                  (d) none of these
$${tan}^{−\mathrm{1}} \:\mathrm{2}\:+\:{tan}^{−\mathrm{1}} \:\mathrm{3}={cosec}^{−\mathrm{1}} {x}\:\:,{then} \\ $$$${x}\:\:{is}\:\:{equal}\:\:{to} \\ $$$$\:\left({a}\right)\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)\:\:\sqrt{\mathrm{2}}\:\: \\ $$$$\left({d}\right)\:−\sqrt{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({d}\right)\:{none}\:{of}\:{these} \\ $$

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