Home
Class 12
MATHS
Evaluate |(cosalphacosbeta,cosalpha sinb...

Evaluate `|(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,cosbeta,0),(sinalphacosbeta,sinalpha sinbeta,cosalpha)|`

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Ecaluate [{:(cosalphacosbeta,cosalphasinbeta,-sinalpha),(-sinbeta,cosbeta,0),(sinalphacosbeta,sinalphasinbeta,cosalpha):}]

Evaluate |{:(cos alpha cos beta,,cos alphasinbeta,,-sinalpha),(-sinbeta,,cos beta,,0),(sinalpha cos beta,,sinalphasinbeta,,cos alpha):}|

Evaluate Delta=|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

Evaluate: =|[0,sinalpha,-cosalpha],[-sinalpha,0,sinbeta],[cosalpha,-sinbeta,0]|

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

Show by vector method that sin(alpha-beta)=sinalphacosbeta-cosalpha sinbeta.

Prove that |cosalpha-cosbeta|lt=|alpha-beta|

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

Show that: sin^2 alpha + sin^2 beta + 2sinalpha sinbeta cos(alpha+beta)=sin^2 (alpha+beta)

If cosalpha+cosbeta=a ,sinalpha+sinbeta=b and alpha-beta=2theta, then (cos3theta)/(costheta)=

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Evaluate |[2, 3,-5], [7, 1,-2], [-3, 4 ,1]| by method.

    Text Solution

    |

  2. Evaluate: =|[0,sinalpha,-cosalpha],[-sinalpha,0,sinbeta],[cosalpha,-si...

    Text Solution

    |

  3. Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...

    Text Solution

    |

  4. If A=[[2, 5], [2, 1]] and B=[[4,-3], [2, 5]] , verify that |A B|=|A||B...

    Text Solution

    |

  5. If A=[[1 ,0 ,1],[0 ,1, 2],[ 0, 0, 4]] , then show that |3A|" "=" "27|...

    Text Solution

    |

  6. Find the values of x , if |[2, 4], [5, 1]|=|[2x,4], [6,x]|

    Text Solution

    |

  7. Find the values of x , if |[3x,7], [2, 4]|=10

    Text Solution

    |

  8. Find the integral value of x , if |[x^2,x,1],[ 0, 2, 1],[ 3, 1, 4]...

    Text Solution

    |

  9. For what value of x the matrix A is singular? A=[[1+x,7], [3-x,8]]

    Text Solution

    |

  10. Without expanding evaluate the determinant |41 1 5 79 7 9 29 5 3|

    Text Solution

    |

  11. If w is a complex cube root of unity. Show that |[1,w, w^2],[w, w^2,...

    Text Solution

    |

  12. Show that |[1,a ,b+c],[1,b, c+a],[1,c ,a+b]|=0 .

    Text Solution

    |

  13. Show that |[b-c,c-a, a-b],[ c-a, a-b,b-c],[ a-b,b-c,c-a]| = 0 .

    Text Solution

    |

  14. Show that |[1,b c, a(b+c)],[1,c a, b(c+a)],[1,a b ,c(a+b)]|=0 .

    Text Solution

    |

  15. Without expanding prove that: |[x+y, y+z, z+x],[z ,x, y],[1, 1 ,1]|=...

    Text Solution

    |

  16. Without expanding show that: =|[cose c^2theta,cot^2theta,1],[cot^2th...

    Text Solution

    |

  17. Find the value of the determinant =|(2, 3, 4) ,(5, 6, 8),( 6x,9x, 12...

    Text Solution

    |

  18. Without expanding show that |b^2c^2 bc b+cc^2a^2 ca c+a a^2b^2a b a+...

    Text Solution

    |

  19. Without expanding evaluate the determinant |sinalphacosalphasin(alp...

    Text Solution

    |

  20. Without expanding evaluate the determinant |(a^x+a^-x)^2(a^x-a^-x)^2 1...

    Text Solution

    |