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Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+……n terms...

`Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+`……n terms =

A

`Tan^(-1)(n/(n+2))`

B

`Tan^(-1)((n+2)/n)`

C

`"Tan"^(-1)(3n)/(4n+1)`

D

`Tan^(-1)((4n+1)/(3n))`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
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  2. tan^(-1)[(cosx)/(1+sinx)] is equal to

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  3. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

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  6. cot((pi)/4-2cot^(-1)3)=

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  7. Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+……n terms =

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  8. tan^(-1)((yz)/(xsqrt(x^(2)+y^(2)+z^(2))))+tan^(-1)((zx)/(ysqrt(x^(2)+y...

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  9. If tan^(-1)x,tan^(-1)y,tan^(-1)z are in A.P then (2y)/(1-y^(2))=

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  10. The number of solution of (x,y) so that sin^(-1)x+sin^(-1)y=(2pi)/3,...

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  11. If A=Tan^(-1)((xsqrt(3))/(2k-x)) and B=Tan^(-1)((2x-k)/(ksqrt(3))) the...

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  12. If sin^(-1)(x-(x^(2))/2+(x^(3))/4-……oo) +cos^(-1)(x^(2)-(x^(4))/2+(x...

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  13. If cos(cot^(-1)(1/2))=cot(cos^(-1)x), then a value of x is

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

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  15. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=

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  16. Sin^(-1)x+sin^(-1)(1-x)=cos^(-1)ximpliesx in

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  18. If tan^(-1)(3)+tan^(-1)(x)=tan^(-1)(8) then x=

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  19. If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2+1/2sqrt(3-3x^(2)))=

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  20. If x=sin(2tan^(-1)2) and y=sin(1/2"tan"^(-1)4/3) then

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