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

If `cot^(-1)n/pi>pi/6,n in N ,` then the maximum value of `n` is 6 (b) `7` (c) 5 (d) none of these

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the complete solution set of sin^(-1)(sin5)> x^2-4x

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  2. The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]...

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

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  4. If cj &gt;0 for i=1,2,....., n prove that tan^(-1)((c1x-y)/(c1y+x)...

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  5. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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  6. If A=2tan^(-1)(2sqrt(2)-1)a n dB=3sin^(-1)(1/3)+sin^(-1)(3/5), then wh...

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  7. If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1, where [*] denotes the gre...

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  8. The value (s) of theta satisfying the equation theta=tan^(- 1)(2tan^2t...

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  9. Transform sin^(-1)x in other inverse trigonometric function, where x i...

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  10. The value of sin^(-1)(-sqrt(3)/2)\ is: (A) (-pi)/3 (B) (-2pi)/3 (...

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  11. The vale of sec(sin^-1(sin((-50pi)/9))+cos^-1(cos(31pi)/9))

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  12. cos (cos^-1 cos((8pi)/7) +tan^-1 tan(8pi/7)) has the value equal to -

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  13. (sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , t...

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  14. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  15. "tan"(cos^(-1)x) is equal to x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(1-x^...

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  16. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

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  17. If x=T a n^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos...

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  18. If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c....

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  19. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  20. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if- x in [0,\ 1]\ b. [-1/(...

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