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Which of the following inequalities are ...

Which of the following inequalities are valid- `|tan^-1 x-tan^-1y|<= |x-y|AA x,y in R`

A

`|tan^(-1)x-tan^(-1)y| le |x-y| AA x, y in R`

B

`|tan^(-1)x-tan^(-1)y| ge |x-y|`

C

`|sin x- sin y| le |x-y|`

D

`|sin x- sin y| ge |x-y|`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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MOTION-MONOTONOCITY-Exercise - 2 (Level-II) ( Multiple Correct ) PROVING INEQUATION BY MONOTONOCITY
  1. Which of the following inequalities are valid- |tan^-1 x-tan^-1y|<= |x...

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