Home
Class 12
MATHS
If cos alpha + 2 cos beta + 3 cos gamma ...

If `cos alpha + 2 cos beta + 3 cos gamma = 0 , sin alpha + 2 sin beta + 3 sin gamma = 0` and `alpha + beta + gamma = pi` , then `sin 3 alpha + 8 sin 3 beta + 27 sin 3 gamma` =

A

9

B

`-18`

C

0

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

If alpha+beta+gamma=2 pi, then

Let A and B denote the statement : A : cosalpha + cosbeta + cosgamma = 0 , B : sinalpha + sinbeta + singamma = 0 If cos(beta - gamma) + (gamma - alpha) + cos (alpha - beta) =-3/2 , then :

Evaluate {:|( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) |:} =1

If alpha, beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha . tan beta . tan gamma and x=cos alpha+i sin alpha, y=cos beta+i sin beta and z=cos gamma+i sin gamma , then x y z=

If cos(alpha + beta) =0 , then sin (alpha- beta)= ________

alpha is a root of equation ( 2 sin x - cos x ) (1+ cos x)=sin^2 x , beta is a root of the equation 3 cos ^2x - 10 cos x +3 =0 and gamma is a root of the equation 1-sin2 x = cos x- sin x : 0 le alpha , beta, gamma , le pi//2 sin alpha + sin beta + sin gamma can be equal to

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

If cos alpha, cos beta, cos gamma are the direction cosines fo a vector veca, then cos 2alpha + cos 2beta + cos 2gamma is equal to

If alpha and beta are the solution of a cos theta + b sin theta = c , then

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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
  1. 2 cos^(-1) x = sin^(-1) (2x sqrt(1 - x^(2))) is valid for all values o...

    Text Solution

    |

  2. If alpha is a complex number such that alpha^(2) - alpha + 1 = 0 , the...

    Text Solution

    |

  3. If cos alpha + 2 cos beta + 3 cos gamma = 0 , sin alpha + 2 sin beta +...

    Text Solution

    |

  4. If the conjugate of (x + iy) ( 1 - 2i) is 1 + i, then

    Text Solution

    |

  5. If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 1...

    Text Solution

    |

  6. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  7. If m sin^(-1) x = log (e) y , then (1 - x^(2)) y'' - xy' =

    Text Solution

    |

  8. If y = e^(log(e) [1 + x + x^(2) + …]) , then (dy)/(dx) =

    Text Solution

    |

  9. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

    Text Solution

    |

  10. If a ball is thrown vertically upward and the height 's' reached in ti...

    Text Solution

    |

  11. The sum of two positive numbers is given . If the sum of their cubes i...

    Text Solution

    |

  12. int(pi//6)^(pi//3) (sin^(3) x)/(sin^(3) x + cos^(3) x) dx=

    Text Solution

    |

  13. Lt(x to 0) (x 2^(x) - x)/(1 - cos x ) =

    Text Solution

    |

  14. (3x + 1)/(( x- 1) (x - 3)) = (A)/(x - 1) + (B)/(x - 3) , then sin^(-1)...

    Text Solution

    |

  15. If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 =...

    Text Solution

    |

  16. The value of ""^(10) C(2) + ""^(10) C(3) + … + ""^(10) C(9) is

    Text Solution

    |

  17. p to - q can also be written as

    Text Solution

    |

  18. If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

    Text Solution

    |

  19. (sin 70^(@) + cos 40^(@))/(cos 70^(@) + sin 40^(@)) =

    Text Solution

    |

  20. The points (11,9) , (2 , 1) and (2 , -1) are the midpoints of the side...

    Text Solution

    |