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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

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The correct Answer is:
B
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Find cot^(-1) ( sqrt((1-x^(2))/(1 + x^(2)))) in terms of cos

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  2. The value of cos (1/2 cos^(-1) (1/8)) is equal to

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  3. The inequality sin^(-1) ( sin 5) gt x^(2) - 4 x holds if

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  4. The value of sin^(-1) {( sin. pi/3) x/sqrt((x^(2) + k^(2) - kx))} - co...

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  5. If a le tan^(-1) ((1-x)/(1+x)) le b " where " 0 le x le 1", then " (a...

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  6. Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1...

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  7. Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

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  8. Solution set of the inequality ( cot^(-1) x)^(2) - ( 5 cot^(-1) x) +...

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  9. Find the sum to infinite terms of the series tan^(-1)((1)/(3))+tan^(-1...

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  10. If x + 1/x = 2, then principal value of sin^(-1) x is

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  11. If x in ( - pi/2, pi/2), then the value of tan^(-1) ((tan x)/4) + ta...

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  12. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

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  13. The value of cot^(pi)/(4)-2 cot^(-13) is

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  14. sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))] i...

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  15. If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

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  16. If |cos^(-1) ((1-x^(2))/(1+x^(2)))| lt pi/3, then

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  17. The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec...

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  18. If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

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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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  20. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

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