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The value of x for which sin(cot^-1(1+x)...

The value of x for which `sin(cot^-1(1+x))=cos(tan^-1x)` is

A

44198

B

1

C

0

D

-0.5

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The correct Answer is:
D
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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. If (tan^-1x)^2+(cot^-1x)^2=(5pi^2)/8, then x equals

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  3. The value of x for which sin(cot^-1(1+x))=cos(tan^-1x) is

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  4. The sum of the infinite series cot^-1 2+cot^-1 8+cot^-1 18+cot^-1 32+....

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  5. If sin^-1sqrt((x^2+2x+1))+sec^-1sqrt((x^2+2x+1))=pi/2, x ne 0, then th...

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  6. The number of real solutions of the equation 2sin^-1sqrt((x^2-x+1))+co...

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  7. The most general solution of the equation tan^-1(1/2secx)+cot^-1(2cosx...

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  8. The greatest of tan1, tan^-1 1, sin^-1 1, sin1, cos1, is

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  9. If 0 lt x lt 1, then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1/...

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  10. The range of values of a for which the equation sin^2x-sqrt3 sinx cosx...

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  11. The number of points inside or on the circle x^2+y^2=4 satisfying tan^...

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  12. The least difference between the roots in the first quadrant in [0, pi...

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  13. The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos...

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  14. General solution of theta satisfying the equation tan^2theta+sec2theta...

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  15. The solution of the inequality log(1//2)sinx gt log(1//2)cosx in [0, 2...

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  16. If [cot^-1x]+[cos^-1x]=0, where x is a non-negative real number and [ ...

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  17. The set of values of x satisfying abs(sin^-1x) lt abs(cos^-1x), is

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  18. The number of real solutions of tan(5picosalpha)=cot(5pisinalpha), alp...

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  19. If x+y=pi/4 and tanx+tany=1, then

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  20. The number of solution of the equation 2tanx+x=(12pi)/5 in the interva...

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