Home
Class 12
MATHS
If cosA+cosB+cosC=0,sinA + sinB + sinC=0...

If `cosA+cosB+cosC=0`,`sinA + sinB + sinC=0`and `A+B+C=180^0`, then the value of `cos3A + cos3B + cos3C` is

A

3

B

`-3`

C

`sqrt(3)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Exercise|131 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

If cosA+cosB+cosC=0,sinA+sinB+sinC=0andA+B+C=180^(@) then the value of cos3A+cos3B+cos3C is :

If cos A+cos B+cos C=0sin A+sin B+sin C=0 and A+B+C=180^(@), then the value of cos3A+cos3B+cos3C is

If cos(A - B) = (3)/(5) and tanA tanB = 2, then the value of cosA cosB is _____

If sinA+sinB=C,cosA+cosB=D , then the value of sin(A+B) =

If cos A+coa B+cos C=sin A+sin B+sin C=0 the values of (cos3A+cos3B+cos C)/(cos(A+B+C))

If sin(A-B) =1//2 and cos(A+B)=1//2 , then what is the value of sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA यदि sin(A-B) =1//2 तथा cos(A+B)=1//2 ,का तो मान sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA क्या है?

If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sinA = sinB- sin^(3)B , then the value of 1620 sin^(2) (A-B) is ……………..

If sin A +sin B +sinC =3 then what is cos A + cosB+cosC equal to ?

If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
  1. The value of (1+isqrt(3))/(1-isqrt(3))^(6)+(1-isqrt(3))/(1+isqrt(3))^(...

    Text Solution

    |

  2. If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus o...

    Text Solution

    |

  3. If cosA+cosB+cosC=0,sinA + sinB + sinC=0and A+B+C=180^0, then the valu...

    Text Solution

    |

  4. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

    Text Solution

    |

  5. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

    Text Solution

    |

  6. The condition that x^(n+1)-x^(n)+1 shall be divisible by x^(2)-x+1 is ...

    Text Solution

    |

  7. The expression (1+i)^(n1)+(1+i^(3))^(n(2)) is real iff

    Text Solution

    |

  8. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

    Text Solution

    |

  9. The centre of a square ABCD is at z0dot If A is z1 , then the centroid...

    Text Solution

    |

  10. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 and alpha...

    Text Solution

    |

  11. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 and alpha...

    Text Solution

    |

  12. Sum of the series sum(r=0)^n (-1)^r ^nCr[i^(5r)+i^(6r)+i^(7r)+i^(8r)] ...

    Text Solution

    |

  13. If az(1)+bz(2)+cz(3)=0 for complex numbers z(1),z(2),z(3) and real num...

    Text Solution

    |

  14. If 2z1-3z2 + z3=0, then z1, z2 and z3 are represented by

    Text Solution

    |

  15. Re((z+4)/(2z-1)) = 1/2, then z is represented by a point lying on

    Text Solution

    |

  16. The vertices of a square are z1,z2,z3 and z4 taken in the anticlockwis...

    Text Solution

    |

  17. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

    Text Solution

    |

  18. if the complex no z1 , z2 and z3 represents the vertices of an equ...

    Text Solution

    |

  19. If P,P^(') represent the complex number z(1) and its additive inverse ...

    Text Solution

    |

  20. Let A(z(1)),B(z(2)),C(z(3)) be the vertices of an equilateral triangle...

    Text Solution

    |