Home
Class 12
MATHS
Find the value of sum(r=1)^(10)sum(s=1)...

Find the value of `sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s)dot`

Text Solution

Verified by Experts

The correct Answer is:
`25 pi`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise 7|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise 6|1 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Find the sum sum_(j=1)^(10)sum_(i=1)^(10)ixx2^(j)

Find the value of 3sum_(n=1)^(oo) {1/(pi) sum_(k=1)^(oo) cot^(-1)(1+2sqrt(sum_(r=1)^(k)r^(3)))}^(n)

Find the sum sum_(r=1)^n r/(r+1)!

Find the value of lim_(n to oo) (tan(sum_(r=1)^(n) tan^(-1)((4)/(4r^(2)+3)))) .

If A=pi/5, then find the value of sum_(r=1)^8tan(r A)tan((r+1)A)dot

If A=pi/5, then find the value of sum_(r=1)^8tan(r A)*tan((r+1)A)dot

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

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))

The value of sum_(r=0)^nsum_(s=0)^nsum_(t=0)^nsum_(u=0)^n(1) is

The value of sum_(r=2)^(10) ""^(r)C_(2).""^(10)C_(r) is