Let x Î (0, 1). The set of all x such that sin–1x > cos–1x, is the interval:

Question:

Let $x \in(0,1)$. The set of all $x$ such that $\sin ^{-1} x>\cos ^{-1} x$, is the interval:

  1. $\left(\frac{1}{2}, \frac{1}{\sqrt{2}}\right)$

  2. $\left(\frac{1}{\sqrt{2}}, 1\right)$

  3. $(0,1)$

  4. $\left(0, \frac{\sqrt{3}}{2}\right)$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online April 25, 2013

Solution:

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