Home
Class 12
MATHS
cos alpha sin (beta-gamma)+cos beta sin ...

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

A

0

B

`(1)/(2)`

C

1

D

`4 cos alpha cos beta cos gamma`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

Let alpha, beta, gamma are distinct real numbers. The points with position vectors alpha i + beta j + gamma k , beta i + gamma j + alpha k , gamma i + alpha j + beta k

If cos ^(-1) alpha+cos ^(-1) beta+cos ^(-1) gamma=3 pi then alpha(beta+gamma)+beta(gamma+alpha)+gamma(alpha+beta)=

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

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 :

If the points a(cosalpha+hatisingamma),b(cosbeta+hatisinbeta) and c(cosgamma+hati sin gamma) are collinear, then the value of |z| is _____ where z=bc sin(beta-gamma)+ca sin(gamma-alpha)+ab sin(alpha+beta)+3hati

A line makes acute alpha, beta and gamma with the coordinate axes such that cos alpha . Cos beta = cos beta . Cos gamma = 2/9 and cos gamma . cos alpha = 4/9 , then cos alpha + cos beta + cos gamma =

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

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=

Using properties of determinants prove that : {:|( alpha , alpha ^(2) , beta +gamma ),( beta , beta ^(2) , gamma +alpha ),( gamma , gamma ^(2) ,alpha +beta ) |:} =(beta -gamma ) (gamma -alpha ) (alpha -beta ) (alpha +beta +gamma )

If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value of the determine |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| is

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. In a triangle ABC, 2casin.(A-B+C)/(2)=

    Text Solution

    |

  2. If sin x+sin ^(2) x=1 then the value of cos ^(2) x+cos ^(4) x is

    Text Solution

    |

  3. cos alpha sin (beta-gamma)+cos beta sin (gamma-alpha) +cos gamma(sin a...

    Text Solution

    |

  4. If two angles of a triangle are 45^(circ) and 60^(circ), then the rati...

    Text Solution

    |

  5. Show that sqrt3" cosec "20^(@)-sec 20^(@)=4

    Text Solution

    |

  6. If f(x)=cos ^(2) x+sec ^(2) x, then

    Text Solution

    |

  7. The value of log tan 1^(circ)+log tan 2^(circ)+.. .+log tan 89^(circ) ...

    Text Solution

    |

  8. If alpha and beta be between 0 and (pi)/(2) and if cos (alpha+beta)=(1...

    Text Solution

    |

  9. The expression (cos 6 x+6 cos 4 x+15 cos x+10)/(cos 5 x+5 cos 3 x+10 c...

    Text Solution

    |

  10. If sin A+sin B=a and cos A+cos B=b then cos (A+B)=

    Text Solution

    |

  11. The maximum value of 12 sin theta-9 sin ^(2) theta is

    Text Solution

    |

  12. The value of cos (2 pi)/(7)+cos (4 pi)/(7)+cos (6 pi)/(7) is

    Text Solution

    |

  13. If tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4) then, s...

    Text Solution

    |

  14. If sin (x-y)=cos (x+y)=(1)/(2), the value of x and y lying between 0^(...

    Text Solution

    |

  15. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  16. If 1+sin x+sin ^(2) x+sin ^(3) x+ldots .+infty is equal to 4+2 sqrt(3)...

    Text Solution

    |

  17. Given A=sin ^(2) theta+cos ^(4) theta then for all real theta

    Text Solution

    |

  18. The value of (1+cos (pi)/(8))(1+cos (3 pi)/(8))(1+cos (5 pi)/(8))(1+co...

    Text Solution

    |

  19. If sin ^(3) x sin 3 x=sum(r=0)^(n) a(r) cos r x is an identity in x, ...

    Text Solution

    |

  20. The expression tan ^(2) alpha+cot ^(2) alpha is

    Text Solution

    |