Home
Class 12
MATHS
The value of sum(r=1)^(10)tan^(-1)(3/(9r...

The value of `sum_(r=1)^(10)tan^(-1)(3/(9r^2+3r-1))` is a)`cot^(-1)""13/6` b)`tan^(-1)""13/6` c)`cot^(-1)""14/5` d)`tan^(-1)""14/5`

A

`cot^(-1)""13/6`

B

`tan^(-1)""13/6`

C

`cot^(-1)""14/5`

D

`tan^(-1)""14/5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value of sum_(r=0)^(oo)tan^(-1)(1/(1+r+r^2))

Find the value of sin^(-1)(3/5)+tan^(-1)(1/7)

The value of tan^(-1) ((7)/(4))- tan^(-1) ((3)/(11)) is equal to

sum_(r=1)^(n) tan^(-1)(2^(r-1)/(1+2^(2r-1))) is equal to a) tan^(-1)(2^n) b) tan^(-1)(2)^n-pi/4 c) tan^(-1)(2^(n+1)) d) tan^(-1)(2^(n+1))-pi/4

The value of sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s) is a) 20pi b) 25 pi c) 50pi d) 100pi

Find the value of 4 tan^(-1)""(1)/5 - tan^(-1)""(1)/70+tan^(-1)""1/99

The value of sec ^(2) ( tan ^(-1) 3) + cosec ^(2) (cot ^(-1) 2) is equal to

The values of tan^-1(a/b)-tan^-1((a-b)/(a+b)) =?

The value of tan [ sin ^(-1) "" (5)/(13) + cot ^(-1) ""(4)/(3)] is

Show that tan ^(-1) n+cot ^(-1)(n+1)=tan ^(-1)(n^2+n+1)