Home
Class 11
MATHS
Eliminate theta between the equation : ...

Eliminate `theta` between the equation :
`x = sin theta + cos theta, y = sin theta-cos theta`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin theta .

Prove that : sin 2 theta= 2sin theta cos theta .

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = cos theta - cos 2theta, y = sin theta - sin 2theta

Find dy/dx when x = cos theta + cos 2 theta, y = sin theta + sin 2 theta)

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

Find sin 2 theta when sin theta + cos theta= 1 .

Show that the normal at any point theta to the curve x = a cos theta + a theta sin theta, y = a sin theta - a theta cos theta is at a constant distance from the origin.

Show that the equations of the normal at any point theta on the curve x = 3 cos theta - cos^3 theta, y = 3 sin theta - sin ^3 theta is 4(y cos^3 theta - x sin^3 theta) = 3 sin 4 theta

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA...

    Text Solution

    |

  2. Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin ...

    Text Solution

    |

  3. Eliminate theta between the equation : x = sin theta + cos theta, y ...

    Text Solution

    |

  4. Eliminate theta between the equation : x =a cos theta + b sin theta,...

    Text Solution

    |

  5. Eliminate theta between the equation : x =a sec theta, y= b tan thet...

    Text Solution

    |

  6. Eliminate theta between the equation : x =a sec^3 theta, y = b tan^3...

    Text Solution

    |

  7. Eliminate A between the equation : sec A+ tan A=m, sec A- tanA =n.

    Text Solution

    |

  8. Eliminate A between the equation : a cosec A +b cot A= x^2, b cosec ...

    Text Solution

    |

  9. Eliminate A between the equation : p sec A+q tanA= x, p tan A+ q sec...

    Text Solution

    |

  10. Eliminate A between the equation : l tan A+m secA= n, l' tan A-m' se...

    Text Solution

    |

  11. If m= sin theta+ cos theta and n= sec theta+cosec theta, prove that n...

    Text Solution

    |

  12. If cot theta+cos theta=m, cot theta-cos theta=n, show that : (m^2-n^2...

    Text Solution

    |

  13. If a cot theta+b cosec theta=x^2, b cot theta+a cosec theta =y^2, pro...

    Text Solution

    |

  14. If x cos theta- y sin theta=a,x sin theta+ y cos theta=b, prove that x...

    Text Solution

    |

  15. If cosec theta- sin theta= a^3, sec theta- cos theta= b^3, prove that ...

    Text Solution

    |

  16. If x=r sin theta cos phi, y= r sin theta sin phi, z=r cos theta, prov...

    Text Solution

    |

  17. If (sin A)/(sin B)=m, and (cosA)/(cosB)=n, prove that tan A= +- m/n sq...

    Text Solution

    |

  18. If tan alpha= n tan beta and sin alpha= m sin beta, prove that cos^2 a...

    Text Solution

    |

  19. Which of the six t-ratios are positive for the angle : 210^@ ?

    Text Solution

    |

  20. Which of the six t-ratios are positive for the angle : -405^@ ?

    Text Solution

    |