Home
Class 12
MATHS
Simplify costheta[(costheta,sin theta),(...

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

Text Solution

Verified by Experts

The correct Answer is:
`[(1,0),(0,1)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.1|10 Videos

  • LINEAR PROGRAMMING

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|8 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

(1+sintheta-costheta)/(1+sintheta+costheta) =

Evalute : |{:(cos^2 theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

If f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta," "0):}| , then find the value of f((pi)/6) .

The solution of the equation |(costheta,sintheta,costheta),(-sintheta,costheta,sintheta),(-costheta, -sintheta,costheta)|=0 is -

. Let f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(sinthetacostheta,sin^2theta,costheta),(sintheta,-costheta,0):}|,"find" f(pi/3) .

If 3sintheta+4costheta=5 ,then 4sintheta-3costheta=

Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

If A=[(costheta,sintheta),(-sintheta,costheta)] , then prove that A^(n)=[(cosntheta,sin n theta),(-sin ntheta,cos n theta)], n in N .

(costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

NCERT BANGLISH-MATRICES-EXERCISE 3.2
  1. Compute the indicated products: [(1),(2),(3)][(2,3,4)]

    Text Solution

    |

  2. If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(...

    Text Solution

    |

  3. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

    Text Solution

    |

  4. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Find the values of x and y, if 2{:[(1,3),(0,x)]+{:[(y,0),(1,2)]={:[(...

    Text Solution

    |

  8. Solve the equation for x, y, z and t, if 2[(x, y),(z,t)]+3[(1,-1),(0,2...

    Text Solution

    |

  9. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

    Text Solution

    |

  10. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

    Text Solution

    |

  11. If f(x)={:[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] show that f(alpha)f(b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If A=[(1,0,2),(0,2,1),(2,0,3)], prove that A^(3)-6A^(2)+7A+2I=0

    Text Solution

    |

  15. If A={:[(3,-2),(4,-2)], find k such that A^(2)=kA-2I(2)

    Text Solution

    |

  16. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |

  20. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |