Home
Class 12
MATHS
If sum(i=1)^(2 n) cos ^(-1) x(i)=0, then...

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

A

`n`

B

`2 n`

C

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

D

`(n)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 x^(2)+x+1=0 then sum_(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

If A_(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum_(i=1)^(oo) det (A_(i)) is equal to

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

    Text Solution

    |

  2. If f(x)=sin ^(-1)[(sqrt(3))/(2) x-(1)/(2) sqrt(1-x^(2))],-(1)/(2) le x...

    Text Solution

    |

  3. If sum(i=1)^(2 n) cos ^(-1) x(i)=0, then sum(i=1)^(2 pi) x(i)=

    Text Solution

    |

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

    Text Solution

    |

  5. Principal valu of cos ^(-1)(-sin (7 pi)/(6)) is

    Text Solution

    |

  6. If sin(sin^(-1)((1)/(5))+cos^(-1)x)=1 then find the value of x.

    Text Solution

    |

  7. cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

    Text Solution

    |

  8. tan ^(-1) x gt cot ^(-1) x, holds for

    Text Solution

    |

  9. If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

    Text Solution

    |

  10. If x(1)=2 tan ^(-1)((1+x)/(1-x)), x(2) m sin ^(-1)((1-x^(2))/(1+x^(2))...

    Text Solution

    |

  11. If (tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(5 pi^(2))/(8), then x=

    Text Solution

    |

  12. The value of sin ^(-1)[cos (cos ^(-1)(cos x)+sin ^(-1)(sin x))] where...

    Text Solution

    |

  13. If -1ltxlt0, then sin ^(-1) x=

    Text Solution

    |

  14. sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/...

    Text Solution

    |

  15. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  16. The value of cos ^(-1) sqrt((2)/(3))-cos ^(-1) (sqrt(6)+1)/(2 sqrt(3))...

    Text Solution

    |

  17. The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda...

    Text Solution

    |

  18. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  19. sin ^(-1)(1-x)-2 sin ^(-1) x=(pi)/(2), then x is equal to

    Text Solution

    |

  20. Solve the following equations : sin(tan^(-1)x),|x|lt1 equal to

    Text Solution

    |