Home
Class 12
MATHS
Simplify: cos theta[{:(costheta,sinthe...

Simplify:
`cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]`

A

`[(1,0),(1,0)]`

B

`[(0,0),(0,0)]`

C

`[(1,0),(0,1)]`

D

`[(0,0),(1,0)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos
  • SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Mathematics (Section - A) |1 Videos

Similar Questions

Explore conceptually related problems

costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]=?

Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta.[{:(sintheta,-costheta),(costheta,sintheta):}]=I.

costheta[[costheta, sintheta], [-sintheta, costheta]]+sintheta[[sintheta, -costheta], [costheta, sintheta]]=

Evaluate : |{:(costheta,-sintheta),(sintheta,costheta):}|

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

if A= [{:(costheta,sintheta),(-sintheta,costheta):}], then A A^T =?

Simplify costheta[costhetasinthetasinthetacostheta]+sintheta[sintheta-costhetacosthetasintheta]

Evaluate Delta=|{:(sintheta, costheta),(-costheta,sintheta):}|

Evaluate- |[costheta,sintheta],[sintheta,costheta]|

Evaluate costheta.costheta+sintheta.sintheta

EDUCART PUBLICATION-SAMPLE PAPER 11 -SECTION- B
  1. If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)), then x is

    Text Solution

    |

  2. If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, then the value of lamda is :

    Text Solution

    |

  3. If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)], then matrix AB is a :

    Text Solution

    |

  4. If y=sin t -cos t and x=sin t+cost, then (dy)/(dx) at t=(pi)/(6) is :

    Text Solution

    |

  5. The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increa...

    Text Solution

    |

  6. The equation of tangent to the curve 16x^(2)+9y^(2)=145 at the (2,y(1)...

    Text Solution

    |

  7. If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...

    Text Solution

    |

  8. If the system of linear equations x-y=0,2x+3y+4z=17 and y+2z=7 are wr...

    Text Solution

    |

  9. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

    Text Solution

    |

  10. The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

    Text Solution

    |

  11. Let the relation R is a set of real numbers be defined as R={(x,y),y=3...

    Text Solution

    |

  12. Tangents to the curve y=x^(3)+3x at x=1 and x=-1 are :

    Text Solution

    |

  13. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx)=

    Text Solution

    |

  14. The adjoint of matrix [(3,2),(-1,4)] is :

    Text Solution

    |

  15. The corner points of a feasible region determined by a system of linea...

    Text Solution

    |

  16. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  17. The derivation of sqrt((1-cosx)/(1+cosx)) w.r.t. x is

    Text Solution

    |

  18. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |