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IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)(...

IF `3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+`
`2tan^(-1)((2x)/(1-x^(2)))=(pi)/3` then x=

A

`1)1/(sqrt(3))`

B

2)`1/(sqrt(2))`

C

3)`1//3`

D

4)`1//2`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+ab+1))]=

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  2. sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

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  3. IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(...

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  4. "tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

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  5. Statement: I sin^(-1)x=x has only one solution Statement II: cos^(-1...

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  6. The ascending order of A=cos("sin"^(-1)12/13), B=sin(2"Tan"^(-1)3/4)...

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  7. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

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  8. If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

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  9. If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k)...

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  10. If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

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  11. If sin^(-1)(x)-cos^(-1)(x)=sin^-1(x-1) then x=

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

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  13. cos^(-1)(x//a)+cos^(-1)(y//b)=theta,then (x^(2))/(a^(2))-(2xy)/(ab)cos...

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  14. If "Sec"^(-1)x/a-"Sec"^(-1)x/b="Sec"^(-1)b-Sec^(-1)a then x=

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  15. If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

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  16. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

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  17. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

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  18. If tan^(-1)(x+1)+tan^(-1)(x-1)="tan"^(-1)8/31 then x=

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  19. If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then ...

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

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