Home
Class 12
MATHS
Simplify costheta[[costheta, sin theta],...

Simplify `costheta[[costheta, sin theta],[-sintheta, costheta]]+sintheta[[sintheta, -costheta],[costheta, sintheta]]`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    V PUBLICATION|Exercise QUESTION BANK|39 Videos

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

Similar Questions

Explore conceptually related problems

If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2=[[cos2theta,sin2theta],[-sin2theta,cos2theta]]

If A=[(costheta,sintheta),(-sintheta,costheta)] Find A^2

Prove that sintheta+sin3theta+sin5theta+sin7theta=4costhetacos2thetasin4theta

Solve costheta+cos3theta-2cos2theta=0 .

Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is independent of theta

If 3sintheta+5costheta=5 then show that 5sintheta-3costheta=+-3 .

solve sqrt3 costheta+sintheta=sqrt2

Find dy/dx if x=costheta-cos2theta and y=sintheta-sin2theta

Find dy/dx of x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta)

V PUBLICATION-MATRICES-QUESTION BANK
  1. If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ ...

    Text Solution

    |

  2. If A=[[2/3, 1,5/3],[1/3, 2/3, 4/3],[7/3, 2, 2/3]] and B=[[2/5, 3/5, 1]...

    Text Solution

    |

  3. Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sinthet...

    Text Solution

    |

  4. Find X and Y, if i) X+Y=[[7, 0],[ 2, 5]] and X-Y=[[3 , 0],[ 0 , 3...

    Text Solution

    |

  5. Find X, if Y=[[3 ,2],[ 1 , 4]] and 2 X+Y=[[1 , 0],[ -3, 2]]

    Text Solution

    |

  6. Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

    Text Solution

    |

  7. Solve the equation for x, y, z and t, if 2[[x, z],[ y, t]]+3[[1, -...

    Text Solution

    |

  8. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] find the values of x and y.

    Text Solution

    |

  9. Given 3[[x,y],[z,w]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

    Text Solution

    |

  10. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  11. Show that i) [[5 , (-1)],[ 6, 7]][[2, 1],[ 3 ,4]] ne[[2 , 1 ],[3 ,...

    Text Solution

    |

  12. Find A^2-5 A+6 I, if A=[[2, 0, 1],[ 2 ,1 , 3],[ 1, -1, 0]]

    Text Solution

    |

  13. If A=[[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]], prove that A^3-6 A^2+7...

    Text Solution

    |

  14. If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]], find k so that A^2=kA-2I

    Text Solution

    |

  15. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

    Text Solution

    |

  16. A trust fund has Rs. 30,000 that must be invested in two different typ...

    Text Solution

    |

  17. The bookshop of a particular school has 10 dozen chemistry books, 8 do...

    Text Solution

    |

  18. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nx...

    Text Solution

    |

  19. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...

    Text Solution

    |

  20. If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4...

    Text Solution

    |