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|Exercise Exercise 7|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|1 Videos

  • INDEFINITE INTEGRAL

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

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate sum_(r=1)^(n)rxxr!

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

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

The value of sum_(r=-3)^(1003)i^(r)(where i=sqrt(-1)) is

S=sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1

If Delta_(r)=|{:(r,r-1),(r-1,r):}| where is a natural number, the value of root(10)(sum_(r=1)^(1024))Delta_(r) is

Find he value of sum_(r=1)^(4n+7)\ i^r where, i=sqrt(- 1).

Find the value of sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).