Home
Class 12
MATHS
Prove by vector method that sin(A-B)=sin...

Prove by vector method that sin(A-B)=sinAcosB-cosAsinB and sin(A+B)=sinAcosB+cosAsinB

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

Show by vector method that sin 2A=2sin A cosA .

If A=B=45^(@) , show that : sin(A-B)=sinAcosB-cosAsinB

If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A-B)=sinAcosB-cosAsinB (iii) tan(A-B)=(tanA-tanB)/(1+tanAtanB)

If A=30^@ and B=60^@ , verify that (i) sin(A+B)=sinAcosB+cosAsinB (ii) cos(A+B)=cosAcosB-sinAsinB

Prove that: sin(A+2B)sinA-sinBsin(2A+B)sinB=sin(A+B)sin(A-B)

Given that sin(A+B)=sinAcosB+cosAsinB , find the value of sin75^@ .

Prove by vector methods that sin(alpha+beta)=sin alphacos beta+cos alphasin beta

Using cross product of vectors, prove that sin(A+B)=sinAcosB+cosAsinBdot

Prove that: (cos(A-B)+sinA-cos(A+B))/(sin(A+B)+cosA-sin(A-B))=tanA

Using the formula of sin(A-B)=sinAcosB-cosAsinB find the value of sin 15^@

RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. If vec a , vec ba n d vec c are three non coplanar vectors, then pr...

    Text Solution

    |

  2. Let vec a , vec b , vec c be unit vectors such that vec adot vec b= ...

    Text Solution

    |

  3. Prove by vector method that sin(A-B)=sinAcosB-cosAsinB and sin(A+B)=si...

    Text Solution

    |

  4. In a triangle A B C , prove by vector method that a/(sinA)=b/(sinB)=c/...

    Text Solution

    |

  5. Show that ( vec axx vec b)^2=| vec a|^2| vec b|^2-( vec adot vec b)^2=...

    Text Solution

    |

  6. Given | vec a|=10 ,| vec b|=2 "and" vecadot vec b=12 ,"find"| vec axx ...

    Text Solution

    |

  7. If A(0,1,1),B(2,3,-2),C(22 ,19 ,-5)a n dD(1,-12 ,1) are the vertices o...

    Text Solution

    |

  8. Find the area of the parallelogram determined by the vectors hat i+2 ...

    Text Solution

    |

  9. Find a unit vector perpendicular to the plane A B C , where the coordi...

    Text Solution

    |

  10. Find a vector of magnitude 9, which is perpendicular to both vectors 4...

    Text Solution

    |

  11. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 ...

    Text Solution

    |

  12. For any vector vec a , prove that | vec axx hat i|^2+| vec axx hat j|...

    Text Solution

    |

  13. Find the magnitude of vec a give by vec a=( hat i+2 hat j-2 hat k)xx...

    Text Solution

    |

  14. Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i...

    Text Solution

    |

  15. Find lambda and mu if (2 hat i+6 hat j+27 hat k)xx( hat i+lambda hat j...

    Text Solution

    |

  16. If vec r=x hat i+y hat j+z hat k ,\ find the value of ( vec rxx hat ...

    Text Solution

    |

  17. Find a unit vector perpendicular to each of the vectors ( vec a+ vec...

    Text Solution

    |

  18. Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k\ a n d\ vec c=7 hat...

    Text Solution

    |

  19. Show that the area of a parallelogram having diagonals 3 hat i+ hat j-...

    Text Solution

    |

  20. Find the area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3...

    Text Solution

    |