Home
Class 12
MATHS
If cos ^(-1) x+cos ^(-1) y+cos ^(-1) z=3...

If `cos ^(-1) x+cos ^(-1) y+cos ^(-1) z=3 pi` then `x y+y z+z x=`

A

1

B

0

C

-3

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
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 tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2) then x y+y z+z x=

If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2), then 1-x y-y z-z x=

If sin^(-1) x + sin^(-1) y + sin^(-1) z =(3pi)/2 , then : x^100+ y^100 + z^100 -9/(x^101 + y^101 + z^101) is :

If sin^(-1) x + cos ^(-1) y = (2pi)/5 , then cos^(-1) x + sin ^(-1) y is

If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

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

If sin^(-1) x + sin^(-1) y=pi/2 , then the value of cos^(-1) x +cos^(-1) y is :

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    Text Solution

    |

  2. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

    Text Solution

    |

  3. If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(...

    Text Solution

    |

  4. The solution set of the equation sin ^(-1) x=2 tan ^(-1) x is

    Text Solution

    |

  5. Let (x, y) be such that sin ^(-1)(alpha x)+cos ^(-1) y+cos ^(-1)(b x y...

    Text Solution

    |

  6. Let cos (2 tan ^(-1) x)=(1)/(2) then the value fo x is

    Text Solution

    |

  7. The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1...

    Text Solution

    |

  8. If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

    Text Solution

    |

  9. If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

    Text Solution

    |

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

    Text Solution

    |

  11. The principal value of sin ^(-1)(tan (-(5 pi)/(4))) is

    Text Solution

    |

  12. If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

    Text Solution

    |

  13. sin (2 sin^(-1) sqrt((63)/(65)))=

    Text Solution

    |

  14. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

    Text Solution

    |

  15. If agtbgt0,sec^(-1)((a+b)/(a-b))=2"sin"^(-1)x, then x =

    Text Solution

    |

  16. If tan^(-1)x=(pi)/(4)-tan^(-1)((1)/(3)), then x is

    Text Solution

    |

  17. If x takes negative permissible value, then sin^(-1)x is equal to

    Text Solution

    |

  18. The value of sin [cot^(-1) {cos (tan^(-1)x)}] is :

    Text Solution

    |

  19. If cos ^(-1) x+cos ^(-1) y+cos ^(-1) z=3 pi then x y+y z+z x=

    Text Solution

    |

  20. tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2)+x y+1))=

    Text Solution

    |