Home
Class 11
MATHS
If a cot theta+b cosec theta=x^2, b cot ...

If `a cot theta+b cosec theta=x^2, b cot theta+a cosec theta =y^2`,
prove that `x^4-y^4= b^2-a^2`.

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

If x cos theta- y sin theta=a,x sin theta+ y cos theta=b , prove that x^2+y^2= a^2+b^2 .

If cosec theta- sin theta= a^3, sec theta- cos theta= b^3 , prove that a^2b^2(a^2+b^2)=1 .

Solve cot theta + "cosec" theta =sqrt(3)

If cot theta+cos theta=m, cot theta-cos theta=n , show that : (m^2-n^2)^2=16mn .

Prove that (1 +cot theta -cosec theta )(1+tan theta +sec theta )=2.

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

If : cot theta + cot((pi)/4 + theta) = 2 , then : theta =

If m= sin theta+ cos theta and n= sec theta+cosec theta , prove that n (m + 1) (m-1) = 2m .

If tan theta =a/b , prove that a sin 2 theta+b cos 2 theta=b .

If p and q are the lengths of perpendiculars from the origin to the lines xcos theta -ysin theta = k cos 2 theta and x sec theta + y cosec theta= k , respectively, prove that p^2 + 4q^2 = k^2 .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If m= sin theta+ cos theta and n= sec theta+cosec theta, prove that n...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If sin theta= -1/sqrt2 and tan theta=1, find the quadrant in which the...

    Text Solution

    |

  12. Prove that sectheta+costheta can never be equal to (3)/(2).

    Text Solution

    |

  13. Prove that : cosec^2 theta+ sin^2 theta can never be less than 2.

    Text Solution

    |

  14. Is the equation 2 cos^2 theta + cos theta-6 = 0 possible ?

    Text Solution

    |

  15. Is the equation 2 sin^2 theta -cos theta+ 4 = 0 possible ?

    Text Solution

    |

  16. Find the values of the remaining functions in the following problem : ...

    Text Solution

    |

  17. Find the values of other five trignometrtic functions in each of the f...

    Text Solution

    |

  18. Find the values of the remaining functions in the following problem : ...

    Text Solution

    |

  19. Find the values of the remaining functions in the following problem : ...

    Text Solution

    |

  20. Find the values of the remaining functions in the following problem : ...

    Text Solution

    |