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If cot^(-1)""n/pi gt pi/6, n in N, then ...

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

A

6

B

7

C

5

D

none of these

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [.] denotes...

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  2. The value of x for which sin[cot^(-1)(1+x)]=cos(tan^(-1)x) is :

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

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  4. If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal funtions, then ...

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  5. f:(-1,1) to B defined by f(x)=tan^(-1)((2x)/(1-x^(2))) is bijection t...

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  6. The values of Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x i...

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  7. If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha ...

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  8. There exists a positive real number x satisfying cos(tan^(-1)x)=x. The...

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  9. If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0), then

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  10. The number of integer x satisfying sin^(-1)abs(x-2)+cos^(-1)(1-abs(3-x...

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  11. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

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  12. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

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  13. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x, then x =

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  14. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

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  15. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

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  16. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2).x^(2))/(x^(4)+2x^(2)+...

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  17. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

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  18. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

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  19. If sin^(-1)x:[-1, 1] to [pi/2, (3pi)/2] and cos^(-1)x:[-1, 1] to [0, p...

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  20. The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

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