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Find cot^(-1) ( sqrt((1-x^(2))/(1 + x^(2...

Find `cot^(-1) ( sqrt((1-x^(2))/(1 + x^(2))))` in terms of cos

A

`cos^(-1) (x^(2))`

B

`pi/2 - 1/2 cos^(-1) ( x^(2))`

C

`pi/3 - 1/2 cos^(-1) ( x^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  16. If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3), then

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  19. If tan^(-1). (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

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