Home
Class 12
MATHS
If cosalpha+coabeta+cosgamma=0=sinalpha+...

If `cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma` then `cos(alpha+beta)+cos(beta+gamma)+cos(gamma+alpha)=`

A

0

B

1

C

`sin2(alpha+beta+gamma)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -II|58 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2alpha+cos^2beta+cos^2gamma=

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3alpha+cos3beta+cos3gamma

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alpha-beta-gamma)+cos(2beta-gamma-alpha)+cos(2gamma-alpha-beta)=

If cos(alpha - beta) + cos(beta - gamma)+ cos(gamma-alpha)=-3/2 , then

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3alpha+sin3beta+sin3gamma

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin3alpha+sin3beta+sin3gamma=

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alpha-beta-gamma)+sin(2beta-gamma-alpha)+sin(2gamma-alpha-beta)=

Assertion (A): If A, B, C are the angles of a triangle such that cos A + cos B + Cos C = 0 = sin A + sin B + sin C then cos 3A + cos 3B + cos 3C = -3 Reason (R) : If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + singamma then cos 3 alpha + cos 3 beta + cos 3 gamma = 3 cos (gamma+alpha+beta)

AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

    Text Solution

    |

  2. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

    Text Solution

    |

  3. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

    Text Solution

    |

  4. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

    Text Solution

    |

  5. If A+B+C= pi and cos A+cos B+cos C=0=sin A+sin B+sin C , then sin 3A+...

    Text Solution

    |

  6. The cube roots of 1+I are

    Text Solution

    |

  7. The values of (sqrt3+i)^(1//4) are

    Text Solution

    |

  8. The values of (1+i)^(2//3) are

    Text Solution

    |

  9. All the values of (-i)^(1//3) are given by

    Text Solution

    |

  10. If x^4-1=0 then x=

    Text Solution

    |

  11. Solve x^9-x^5+x^4-1=0

    Text Solution

    |

  12. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

    Text Solution

    |

  13. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

    Text Solution

    |

  14. A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...

    Text Solution

    |

  15. Assertion (A): If A, B, C are the angles of a triangle such that cos A...

    Text Solution

    |

  16. IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...

    Text Solution

    |

  17. Assertion (A) : If alpha=cos((2pi)/(7))+isin((2pi)/(7)),p=alpha+alpha^...

    Text Solution

    |

  18. If z=(sqrt3-i)/(2) then (i^(101)+z^(101))^(103)=

    Text Solution

    |

  19. The roots of (z-1)^n=i(z+1)^n are plotted on the argand plane they are

    Text Solution

    |

  20. If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha...

    Text Solution

    |