Home
Class 12
MATHS
cot^(2)x-(1)/(2)cot^(4)x+(1)/(3)cot^(6)x...

`cot^(2)x-(1)/(2)cot^(4)x+(1)/(3)cot^(6)x -(1)/(4)cot^(8)x+…oo=`

A

log tanx

B

2 log tan x

C

2 log cosec x

D

log cosec x

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(A) (CLASS WORK)|40 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(B) (HOME WORK)|30 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

Similar Questions

Explore conceptually related problems

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

Cot^(-1)(4/3)-Cot^(-1)(15/8)=

If S_(n)=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+….. n terms, then

The sum of infinite terms of the series cot^(-1)(2^(2)+1/2)+cot^(-1)(2^(3)+1/2^(2))+cot^(-1)(2^(4)+1/2^(3))+…=cot^(-1)k then k =

If int (x^(2)-x+1)/(x^(2)+1)e^(cot^(-1)x)dx=A(x)e^(cot^(-1)x)+c , then A(x) is equal to :

underset (x to (pi)/(4))(Lt) (1-cot^(3)x)/(2-cotx-cot^(3)x)=

If x_(1),x_(2),x_(3) are the roots of x^(3)-6x^(2)+11x-6=0 then cot^(-1)(x_(1))+cot^(-1)(x_(2))+cot^(-1)(x_(3)) is equal to

(1)/(tan 3x- tanx)-(1)/( cot 3 x- cot x)=

Sum of infinite terms of the series cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)+3/4)+cot^(-1)(3^(2)+3/4)+….. is