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

Verified by Experts

`x,y,z in [−1,1]`
`−1<=x<=1,−1<=y<=1,−1<=z<=1`
`0<=cos ^ (−1) x<=pi,0<=cos^ (−1) y<=pi,0≤cos^ ^(−1) ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos
  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

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

If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y)=

Let A = [[cos ^ (- 1) x, cos ^ (- 1) y, cos ^ (- 1) zcos ^ (- 1) y, cos ^ (- 1) z, cos ^ (- 1) xcos ^ (- 1) y, cos ^ (- 1) z, cos ^ (- 1) xcos ^ (- 1) z, cos ^ (- 1) x, cos ^ (- 1) y]] such x + y + z is

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  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 ...

    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: cos^(-1)(-(sqrt(...

    Text Solution

    |

  10. Find the principal value of each of the following: cos^(-1)(sin(4pi...

    Text Solution

    |

  11. For the principal values, evaluate each of the following : cos^(-1)...

    Text Solution

    |

  12. For the principal values, evaluate each of the following : sin^(-1)...

    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: tan^(-1){2c...

    Text Solution

    |

  18. For the principal values, evaluate each of the following: tan^(-1){2c...

    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)&gt;pi/4,n in Ndo...

    Text Solution

    |