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The set of values of x for which tan^(...

The set of values of x for which
`tan^(-1)(x)/sqrt(1-x^(2))=sin^(-1)` x holds is

A

R

B

`[-1,1]`

C

`(0,1)`

D

`[-1,0]`

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To solve the equation \[ \frac{\tan^{-1}(x)}{\sqrt{1-x^2}} = \sin^{-1}(x), \] we will follow these steps: ...
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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  2. A root of the equation17x^2 + 17x tan [2 tan^-1(1/5) - pi/4] - 10 = 0 ...

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  3. The set of values of x for which tan^(-1)(x)/sqrt(1-x^(2))=sin^(-1) ...

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  4. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x/2)-cos^(-...

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  5. If x in[-1/2,1] then sin^(-1)(sqrt(3)/(2)x-1/2sqrt(1-x^(2)))

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  6. cosec^(-1)(cosx) is defined if

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  7. If 0< x< 1,then tan^(-1)(sqrt(1-x^2)/(1+x)) is equal to

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  8. Solve sin^(-1)[((2x^2+4)/(1+x^2))]<pi-3

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  9. cos[tan^(-1){tan((15pi)/4)}]

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  10. If Sigma(r=1)^(n) cos^(-1)x(r)=0, then Sigma(r=1)^(n) x(r) equals

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  11. If Sigma(r=1)^(2n) sin^(-1) x^(r )=n pi, then Sigma(r=1)^(2n) x(r )...

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  12. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

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  13. If sin^(-1)sqrt(x^2+2x + 1) + sec^(-1)sqrt(x^2 + 2x + 1) = pi/2; x!= 0...

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  14. Find the values of sin (cos−1 3/5)

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  15. The set of values of x, satisfying the equation tan^(2) ( sin^(-1) x) ...

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  16. If cot^(-1). (n)/(pi) gt (pi)/(6), n in N, then the maximum value of n...

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  17. if 6sin1(x^2-6x+12)=2pi, then the value of x, is

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  18. Which of the following is the solution set of the equation sin^-1 x = ...

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  19. If log(2)xge0 then log(1//pi){sin^(-1)((2x)/(1+x^(2)))+2tan^(-1)x} is...

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  20. The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1...

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