Home
Class 12
MATHS
If cosalpha+2cosbeta+3cosgamma=sinalpha+...

If `cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt h ev a l u eofsinalpha+8s in3beta+27sin3gammai s` `sin(a+b+gamma)` b. `3sin(alpha+beta+gamma)` c. `18"sin"(alpha+beta+gamma)` d. `sin(alpha+2beta+3)`

A

`sin(alpha+beta+gamma)`

B

`3sin(alpha+beta+gamma)`

C

`18sin(alpha+beta+gamma)`

D

`sin(alpha+2beta+3gamma)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 , then the value of sin3alpha+8sin3beta+27sin3gamma is sin(a+b+gamma) b. 3sin(alpha+beta+gamma) c. 18"sin"(alpha+beta+gamma) d. sin(alpha+2beta+3)

If cos alpha + 2 cos beta +3 cos gamma = sin alpha + 2 sin beta + 3 sin gamma y = 0 , then the value of sin 3alpha + 8 sin 3beta + 27 sin 3gamma is

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma , then (sin3alpha+sin3beta+sin3gamma)/(sin(alpha+beta+gamma)) is equal to

If sin alpha+ sin beta+ sin gamma=3, then sin^3alpha+sin^3beta+sin^3 gamma=

If cos alpha + cos beta + cos gamma = 0 and also sin alpha + sin beta + sin gamma= 0, then prove that: cos 3 alpha + cos 3beta + cos 3gamma = 3 cos (alpha + beta + gamma)

If cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamma=0, then prove that cos2alpha+cos2beta+cos2gamma =sin2alpha+sin2beta+sin2gamma=0 sin3alpha+sin3beta+sin3gamma=3sin(alpha+beta+gamma) cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma)

If 2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma are in

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta)=

If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta) =

Prove that: sinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin((alpha+beta)/2)sin((beta+gamma)/2)sin((gamma+alpha)/2)dot

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If (a1+ib1)(a2+ib2).....(an+ibn)=A+iB, then (a1^2+b1^2)(a2^2+b2^2).......

    Text Solution

    |

  2. If (a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)^(n) ...

    Text Solution

    |

  3. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

    Text Solution

    |

  4. If alpha,betaandgamma are the cube roots of P(p)lt0), then for any x, ...

    Text Solution

    |

  5. prove that tan(i" In"((a-ib)/(a+ib)))=(2ab)/(a^(2)-b^(2)) (where a, ...

    Text Solution

    |

  6. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  7. The locus of the points representing the complex numbers z for which |...

    Text Solution

    |

  8. For n=6k, k in z, ((1-isqrt(3))/(2))^(n)+((-1-isqrt(3))/(2))^(n) has t...

    Text Solution

    |

  9. The product of all values of (cosalpha+isinalpha)^(3//5) is

    Text Solution

    |

  10. If C^(2)+S^(2)=1, then (1+C+iS)/(1+C-iS) is equal to

    Text Solution

    |

  11. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

  12. The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...

    Text Solution

    |

  13. The vector z=-4+5i is turned counter clockwise through an angle of 180...

    Text Solution

    |

  14. The value of [sqrt(2)(cos(56^(@)15^('))+isin(56^(@)15^('))]^(8), is

    Text Solution

    |

  15. Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)...

    Text Solution

    |

  16. The vertices B and D of a parallelogram are 1-2i and 4-2i If the diago...

    Text Solution

    |

  17. If the complex number z(1) " and " z(2) are such that arg (z(1)) - ar...

    Text Solution

    |

  18. The join of z(1)=a+ib and z(2)=1/(-a+ib) passes through

    Text Solution

    |

  19. If z(1),z(2),z(3),z(4) are the affixes of the four points in the Ar...

    Text Solution

    |

  20. The value of sum(r=1)^(8)(sin((2rpi)/9)+icos((2rpi)/9)), is

    Text Solution

    |