Home
Class 12
MATHS
Using vectors prove that sin(alpha - bet...

Using vectors prove that `sin(alpha - beta)`= `sin alpha cos beta- cos alpha sin beta`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Prove by vectors that : cos (alpha + beta) = cos alpha cos beta- sin alpha sin beta .

Prove by vectors that : cos (alpha - beta) = cos alpha cos beta+ sin alpha sin beta .

Using vectors, prove that cos(alpha-beta)=cosalpha cosbeta+sinalphasinbeta

Find the value of f(alpha, beta) =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)|

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

Let f(alpha, beta) = =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)| if i =int_(-pi//2)^(pi//2) cos ^(2)beta(f(0,beta)+f(0,(pi)/(2)-beta))dbeta then i is

If tan (alpha- beta)= (sin 2 beta)/(5-cos 2 beta) , find tan alpha: tan beta .

If (cos^4 alpha)/(cos^2 beta)+ (sin^4 alpha)/(sin^2 beta) =1 , prove that : sin^4 alpha+ sin^4 beta= 2 sin^2 alpha sin^2 beta .

If alpha, beta be such that pi < alpha- beta < 3 pi . If sin alpha +sin beta= -21/65 and cos alpha + cos beta = -27/65 , then the value of cos frac (alpha-beta)(2) is :

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If G is the centroid of triangle ABC, prove that area triangle AGB = ...

    Text Solution

    |

  2. If D, E, f are the mid-point of the sides of triangle ABC, prove that ...

    Text Solution

    |

  3. Using vectors prove that sin(alpha - beta)= sin alpha cos beta- cos al...

    Text Solution

    |

  4. If vec a= 2 hat i+ 3 hat j+ 6 hat k, vec b= 3 hat i- 6 hat j+ 2 hat k ...

    Text Solution

    |

  5. If vec a+ vec b + vec c= 0, show that vec axxvec b= vec bxx vec c= vec...

    Text Solution

    |

  6. Integrate the following int xSin(2x)dx

    Text Solution

    |

  7. Prove the following : vec a * (vec a xx vec b) = 0, where are vec a a...

    Text Solution

    |

  8. Integrate the following int dx/(1+cosecx)

    Text Solution

    |

  9. Integrate the following int dx/(1-cosecx)

    Text Solution

    |

  10. Find the volume of the parallelopied whose co-terminus edges are repre...

    Text Solution

    |

  11. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

    Text Solution

    |

  12. Find λ such that the vectors vec v1 =2 hat i - hat j +hat k, vec v2= h...

    Text Solution

    |

  13. Find λ such that the vectors vec a =hat i +3 hat j +hat k, vec b= 2 ha...

    Text Solution

    |

  14. Prove that the points whose position vectors are 6 hat i - 7 hat j, 16...

    Text Solution

    |

  15. Find x such that the four points A (4, 1, 2), B (5, x, 6), C (5, 1,-1)...

    Text Solution

    |

  16. Find λ if the vectors vec a = hat i+3 hat j +hat k, vec b=2 hat i- hat...

    Text Solution

    |

  17. Prove that [vec a+ vec b, vec b +vec c, vec c + vec a]= 2 [vec a vec b...

    Text Solution

    |

  18. For any three vectors vec a,vec b and vec c , show that vec a- vec b,v...

    Text Solution

    |

  19. Prove that [vec a -vec b, vec b - vec c, vec c- vec a] =0

    Text Solution

    |

  20. Integrate the following int (cosx)dx/(1+sin^2x)

    Text Solution

    |