If \tan ^{-1} x-\cot ^{-1} x=\tan ^{-1} ( {1}/{\sqrt{3}}) , x>0, find the value of x and hence find the value of \sec ^{-1} (\frac{2}{x}).

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 14 of 29

Marks: +1, -0

\tan ^{-1} x-\cot ^{-1} x=\tan ^{-1} (\;{1}/{{√{3}}}) , x>0

, find the value of

x

and hence find the value of

\ sec ^{-1} (\;{2}/{x})

Solution:

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