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If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x...

If `cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x)` then x=

A

`1/(sqrt(2))`

B

`1/(sqrt(3))`

C

`1/(sqrt(5))`

D

`1/(sqrt(6))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
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  8. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

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  9. The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is

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  10. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

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  12. If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

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  13. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

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  14. Th ascending order of minimum values of functions P: sin^(-1)x-cos^(...

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  15. Match the following:

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  16. Assertion : If 0ltxlt(pi)/2 then sin^(-1)(cosx)+cos^(-1)(sinx)=pi-2x ...

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  18. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

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  19. tan^(-1)[(cosx)/(1+sinx)] is equal to

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  20. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

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