Home
Class 12
MATHS
If xcostheta=ycos(theta+(2pi)/(3))=zcos(...

If `xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3))`, then `(1)/(x)+(1)/(y)+(1)/(z)=?`

A

`3 cos theta`

B

`cos 3theta`

C

0

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If x sintheta=ysin(theta+(2pi)/(3))=z sin(theta+(4pi)/(3)), then

If x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3)), then write the value of (1)/(x)+(1)/(y)=(1)/(z)

If x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3)), prove that xy+yz+zx=0

If x*cos theta=y*cos(theta+(2 pi)/(3))=2*cos(theta+(4 pi)/(3)) then evaluate xy+yz+zx

If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3))), then x+y+z=

If (x)/(cos theta)=(y)/(cos(theta-(2 pi)/(3)))=(z)/(cos(theta+(2 pi)/(3))) then x+y+z is (a)1(b)0(c)-1(d) none of these

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  2. If un = 2cos n theta then u1un - u(n-1) is equal to

    Text Solution

    |

  3. If xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3)), then (1)/(x)...

    Text Solution

    |

  4. If cos alpha + cos beta + cos gamma = 0 then cos 3alpha + cos 3beta + ...

    Text Solution

    |

  5. A factor of cos 4theta - cos 4phi is

    Text Solution

    |

  6. The chord AB of a circle subtends an angle of frac {2pi}{3} at a point...

    Text Solution

    |

  7. If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) a...

    Text Solution

    |

  8. A container is filled with a simple of gas having molecules with speed...

    Text Solution

    |

  9. AB and CD are two parallel chords of a circle of radius 6 cm lying on ...

    Text Solution

    |

  10. Eliminate theta between cosec theta -sin theta = m and sec theta - cos...

    Text Solution

    |

  11. If cos alpha + cos 2alpha = p,sin alpha + sin 2alpha = q then eliminat...

    Text Solution

    |

  12. If cos alpha = cos beta*cos phi= cos gamma *cos theta and sin alpha = ...

    Text Solution

    |

  13. Eliminate theta between a = cos(theta - alpha), b = sin(theta - beta) ...

    Text Solution

    |

  14. Eliminating alpha from xcos alpha = y cos(alpha +2pi/3) = zcos (alpha ...

    Text Solution

    |

  15. If cos rx + cos ry = ar, r = 1, 2, 3 then prove that 2a1^(3) + a3 = 3...

    Text Solution

    |

  16. Eliminate theta, phi from sin theta + sin phi = a, cos theta+ cos phi ...

    Text Solution

    |

  17. Eliminatetheta from lambda cos 2theta = cos(theta + alpha) and lambda...

    Text Solution

    |

  18. If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta). find the ra...

    Text Solution

    |

  19. Prove that the value of 5 cos theta + 3cos (theta + pi/3) +3 lies bet...

    Text Solution

    |

  20. Find the maximum and minimum values of sin^(6)x + cos^(6)x.

    Text Solution

    |