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  • If cos inverse x greater than sin inverse x, then A. 1 divided square root 2 less than x less than equal to 1 B. 0 less than equal to x less than 1 divided square root 2 C. -1 less than equal to x less than 1 divided square root 2 D. x greater than 0

Q: If $\cos^{-1}x> \sin^{-1}x$ then 

$A. \frac{1}{\sqrt{2}}< x\leq 1$

$B. 0\leq x< \frac{1}{\sqrt{2}}$

$C.-1\leq x< \frac{1}{\sqrt{2}}$

 $D. x>0$

Answers (1)

Answer :(C)

Plotting cos-1 x and sin-1 x, we get,

As, graph of cos-1 x is above graph of sin-1 x in \left [ -1,\frac{1}{\sqrt{2}} \right ).

So, cos–1x > sin–1 x for all x in \left [ -1,\frac{1}{\sqrt{2}} \right ) .

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infoexpert24

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