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The value of sin [cot^(-1) {cos (tan^(-1...

The value of sin `[cot^(-1) {cos (tan^(-1)x)}]` is :

A

`sqrt((1+x^(2))/(2+x^(2)))`

B

`sqrt((2+x^(2))/(1+x^(2)))`

C

`sqrt((x^(2)-2)/(x^(2)-1))`

D

`sqrt((x^(2)-1)/(x^(2)-2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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  4. The solution set of the equation sin ^(-1) x=2 tan ^(-1) x is

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  18. The value of sin [cot^(-1) {cos (tan^(-1)x)}] is :

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