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

If `sum_(i=1)^(2n) sin^(-1) x_i=npi`, then `sum_(i=1)^(2n) x_i` equals :

A

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

B

2n

C

n

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE Examinations|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise RCQs Recent Competitive Questions (Questions From Karnataka CET & COMED)|12 Videos

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos

Similar Questions

Explore conceptually related problems

If sum_(i=1)^(2n) sin^(-1) x_i =npi , then sum_(i=1)^(2n) x_i is equal to :

If sum_(i=1)^(2 n) cos ^(-1) x_(i)=0, then sum_(i=1)^(2 pi) x_(i)=

If sum_(r=1)^(n) t_(r ) = sum_(k=1)^(n) sum_(j=1)^(k) sum_(i=1)^(j) 2 , then sum_(r=1)^(n) (1)/( t_(r )) equals :

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

Let x_(1),x_(2),x_(3), . . .,x_(k) be the divisors of positive integer ' n ' (including 1 and x ). If x_(1)+x_(2)+ . . .+x_(k)=75 , then sum_(i=1)^(k)(1)/(x_(i)) is equal to:

sum_(i=1)^(n) sum_(j=1)^(i)sum_(k=1)^(j) 1 equals :

If 1+x^(2)=sqrt(3)x , then sum_(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

The value of the sume sum_(n=1)^(13) ( i^(n) + i^(n+1)) , where i = sqrt( -1) , equals :

If f(n)=prod_(i=2)^(n-1)log_i(i+1) , the value of sum_(k=1)^100f(2^k) equals

MODERN PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -MULTIPLE CHOICE QUESTIONS (LEVEL - II)
  1. The value of tan [cos^(-1)(4/5)+tan^(-1) (2/3)] is :

    Text Solution

    |

  2. If cos^(-1) p+ cos^(-1) q + cos^(-1) r =pi, then : p^2+q^2+r^2+ 2pqr i...

    Text Solution

    |

  3. If sin^(-1) x + sin^(-1) y + sin^(-1) z =(3pi)/2, then : x^100+ y^100...

    Text Solution

    |

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

    Text Solution

    |

  5. If "cos"^(-1) x/a +"cos"^(-1) y/b=alpha, then : x^2/a^2 -(2xy)/(ab...

    Text Solution

    |

  6. The principal value of cos^(-1) {1/sqrt2 ("cos"(9pi)/10 - "sin"(9pi)/1...

    Text Solution

    |

  7. If sum(i=1)^(2n) sin^(-1) xi =npi, then sum(i=1)^(2n) xi is equal to :

    Text Solution

    |

  8. sin cot^(-1) tan cos^(-1) x is equal to :

    Text Solution

    |

  9. Value of cos{tan^(-1) ("tan"(15pi)/4)} is :

    Text Solution

    |

  10. If cos^(-1)x+cosy^(-1)+cos^(-1)x=3pi then xy+yz+zx=

    Text Solution

    |

  11. If sum(i=1)^(2n) sin^(-1) xi=npi, then sum(i=1)^(2n) xi equals :

    Text Solution

    |

  12. The number of positive integral solutions of : tan^(-1) x + "cos"^(-...

    Text Solution

    |

  13. Value of "tan"^(-1) 1/3 + "tan"^(-1) 1/5 +"tan"^(-1) 1/7 + "tan"^(-1) ...

    Text Solution

    |

  14. If "tan"^(-1) (sqrt(1+x^2)-1)/x=4 , then x equals :

    Text Solution

    |

  15. The integral solution of : tan^(-1) x+ tan^(-1) (1/y)=tan^(-1) 3 i...

    Text Solution

    |

  16. If sin^(-1) x +cos^(-1) (1-x)=sin^(-1) (-x) , then x satisfies :

    Text Solution

    |

  17. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

    Text Solution

    |

  18. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

    Text Solution

    |

  19. If cos^(-1) x - cos^(-1). y/2= alpha ", then " 4x^(2) - 4xy cos alpha...

    Text Solution

    |

  20. If 0 lt x lt 1", then " sqrt(1+x^(2))[{x cos (cot^(-1)x) + sin ( cot...

    Text Solution

    |