Home
Class 12
MATHS
If x ,\ y ,\ z in [-1,1] such that cos^(...

If `x ,\ y ,\ z in [-1,1]` such that `cos^(-1)x+cos^(-1)y+cos^(-1)z=0` , find `x+y+z` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos
  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1). x y+y z+z y and (2). x(y+z)+y(z+x)+z(x+y)

If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1) x y+y z+z y and (2) x(y+z)+y(z+x)+z(x+y)

If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1) x y+y z+z x and (2) x(y+z)+y(z+x)+z(x+y)

If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2, find the value of x^2+y^2+z^2dot

If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2, find the value of x^2+y^2+z^2dot

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , prove that x^2+y^2+z^2+2x y z=1.

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , prove that x^2+y^2+z^2+2x y z=1.

If cos^(-1)x + cos^(-1)y + cos^(-1)z = pi, then xy + yz +zx is equal to

If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal to

Given that cos(x-y) +cos (y-z) +cos (z-x)=-3/5 find cos x+ cos y + cos z

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the principal values of cos^(-1)((sqrt(3))/2) and cos^(-1)(-1...

    Text Solution

    |

  2. Find the principal value of cos^(-1){sin"[cos^(-1)(1/2)]}

    Text Solution

    |

  3. If x ,\ y ,\ z in [-1,1] such that cos^(-1)x+cos^(-1)y+cos^(-1)z=0 , f...

    Text Solution

    |

  4. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then f...

    Text Solution

    |

  5. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then...

    Text Solution

    |

  6. Find the domain of definition of f(x)=cos^(-1)(x^2-4) .

    Text Solution

    |

  7. Find the domain of f(x)=2cos^(-1)2x+sin^(-1)x .

    Text Solution

    |

  8. Find the domain of f(x)=cos^(-1)x+cosx .

    Text Solution

    |

  9. Find the principal value of each of the following: (i) cos^(-1)(-(sq...

    Text Solution

    |

  10. Find the principal value of each of the following: (i) cos^(-1)(sin(...

    Text Solution

    |

  11. For the principal values, evaluate each of the following : (i)cos^(-...

    Text Solution

    |

  12. For the principal values, evaluate each of the following : (i)sin^(-...

    Text Solution

    |

  13. Find the principal value of tan^(-1)(-sqrt(3))

    Text Solution

    |

  14. Find the principal value of tan^(-1)(1)

    Text Solution

    |

  15. Find the principal value of tan^(-1){sin(-pi/2)}

    Text Solution

    |

  16. Find the principal value of tan^(-1){cos((3pi)/2)}

    Text Solution

    |

  17. For the principal values, evaluate each of the following: (i)tan^(-1){...

    Text Solution

    |

  18. For the principal values, evaluate each of the following: (i) tan^(-1)...

    Text Solution

    |

  19. What is greater, tan1 or tan^(-1)1?

    Text Solution

    |

  20. Find the minimum value of n for which tan^(-1)(n/pi)>pi/4,n in Ndo...

    Text Solution

    |