If x \in R-\{0\}, then \tan ^{-1}( \sqrt{1+x^{2}+\sqrt{1-x^{2}}/\sqrt{1+x^{2}-\sqrt{1-x^{2}})

Correct Answer is : π4+12cos−1(x2)

\frac{1}{2} \cos ^{-1}( {x}^{2})

\frac{\pi}{2}+\frac{1}{2} \cos ^{-1}( {x}^{2})

\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}( {x}^{2})

MHT CET 2020 Math Solved Paper

Question : 31 of 50

Marks: +1, -0

If x∈R−{0}, then tan−1(‌

√1+x2+√1−x2

√1+x2−√1−x2

)

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