Home
Class 12
MATHS
If sum(i=1)^(2n) sin^-1 xi = n pi then...

If `sum_(i=1)^(2n) sin^-1 x_i = n pi` then find the value of `sum_(i=1)^(2n) x_i`.

A

n

B

2n

C

`(n(n+1))/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -I)|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -II)|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos
  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos
  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

If sum_(i=1)^(2n)cos^(-1)x_(i)=0 then find the value of sum_(i=1)^(2n)x_(i)

sum_(i=1)^(2n)sin^(-1)(x_(i))=n pi then the value of sum_(i=1)^(n)cos^(-1)x_(i)+sum_(i=1)^(n)tan^(-1)x_(i)=(A)(n pi)/(4)(B)((2)/(3))n pi(C)((5)/(4))n pi(D)2n pi

the value of sum i^(2n+1!)

If sum_(i=1)^(7) i^(2)x_(i) = 1 and sum_(i=1)^(7)(i+1)^(2) x_(i) = 12 and sum_(i=1)^(7)(i+2)^(2)x_(i) = 123 then find the value of sum_(i=1)^(7)(i+3)^(2)x_(i)"____"

If i^(2)=-1 then the value of sum_(n=1)^(200)i^(n) is

If sum_(i)^(n)cos theta_(i)=n, then the value of sum_(i=1)^(n)sin theta_(i)

For any n positive numbers a_(1),a_(2),…,a_(n) such that sum_(i=1)^(n) a_(i)=alpha , the least value of sum_(i=1)^(n) a_(i)^(-1) , is

If sum_(i=1)^(n)sin x_(i)=n then sum_(i=1)^(n)cot x_(i)=

If sum_(i=1)^(n)sin x_(i)=n then sum_(i=1)^(n)cot x_(i)=

sum_(i=1)^(n) sum_(i=1)^(n) i is equal to

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range
  1. The value of cos (1/2 cos^(-1) . 1/8) is equal to

    Text Solution

    |

  2. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  3. If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

    Text Solution

    |

  4. tan^-1a+tan^-1b, where a > 0, b>0, ab > 1, is equal to

    Text Solution

    |

  5. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

    Text Solution

    |

  6. If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=

    Text Solution

    |

  7. if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:

    Text Solution

    |

  8. If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...

    Text Solution

    |

  9. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

    Text Solution

    |

  10. Find all possible values of p and q for which cos^-1 sqrt(p)+cos^-1 sq...

    Text Solution

    |

  11. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |

  12. The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x s...

    Text Solution

    |

  13. The value of x satisfying sin^-1x + sin^-1(1– x ) = cos^1 x are

    Text Solution

    |

  14. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

    Text Solution

    |

  15. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  16. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  17. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

    Text Solution

    |

  18. Which one of the following correct?

    Text Solution

    |

  19. If underset(i=1)overset(n)sum cos^(-1) alpha(i)=0," then "underset(i=1...

    Text Solution

    |

  20. If sum(i=1)^(2n) sin^-1 xi = n pi then find the value of sum(i=1)^(...

    Text Solution

    |