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

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

A

`-1lexle1`

B

`0lexle1`

C

`0lexle1/(sqrt(2))`

D

`1/(sqrt(2))lexle1`

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The correct Answer is:
D
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1-x^(2))/(2x))=(pi)/3,xgt0 then

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

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  3. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

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

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  5. Match the following:

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

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  7. cos^(-1)((3+5cosx)/(5+3cosx)) is equal to

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

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

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

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  11. If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x then x=

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  12. 2sin^(-1)x=cos^(-1)(1-2x^(2)) is true for

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  13. cot((pi)/4-2cot^(-1)3)=

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  14. Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+……n terms =

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  15. tan^(-1)((yz)/(xsqrt(x^(2)+y^(2)+z^(2))))+tan^(-1)((zx)/(ysqrt(x^(2)+y...

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  16. If tan^(-1)x,tan^(-1)y,tan^(-1)z are in A.P then (2y)/(1-y^(2))=

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  17. The number of solution of (x,y) so that sin^(-1)x+sin^(-1)y=(2pi)/3,...

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  18. If A=Tan^(-1)((xsqrt(3))/(2k-x)) and B=Tan^(-1)((2x-k)/(ksqrt(3))) the...

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  19. If sin^(-1)(x-(x^(2))/2+(x^(3))/4-……oo) +cos^(-1)(x^(2)-(x^(4))/2+(x...

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  20. If cos(cot^(-1)(1/2))=cot(cos^(-1)x), then a value of x is

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