Home
Class 10
MATHS
If (sin theta) (x) = (cos theta)/(y), th...

If `(sin theta) (x) = (cos theta)/(y)`, then prove that `sin theta - cos theta = (x - y)/(sqrtx^2 + y^2)`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos
  • QUESTION PAPER 2018

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos

Similar Questions

Explore conceptually related problems

If (sin theta)/(x)=(cos theta)/(y) , then show that sin theta-cos theta=(x-y)/( sqrt(x^(2)+y^(2))) .

If sin theta+ sin^(2)theta=1 , then prove that cos^(2) theta+cos^(4) theta=1.

If costheta=(x)/(sqrt(x^(2)+y^(2))) , then show that x sin theta=y cos theta.

If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta .

If cos theta-sin theta=sqrt(2)cos theta , then prove that cos theta+sin theta=pm sqrt(2) sin theta .

If sin theta+ sin^2 theta = 1 , prove that cos^2 theta+ cos^4 theta = 1 .

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

If x=(2 sin theta)/(1+ sin theta + cos theta) then the value of (1+ sin theta - cos theta)/(1+ sin theta)

int cos 2theta log ((cos theta+sin theta)/(cos theta-sin theta))d theta

UNITED BOOK HOUSE-QUESTION PAPER 2017-Exercise
  1. The total expenses of a hostel are partly constant and partly vary dir...

    Text Solution

    |

  2. Answer any one : If a/b+c = b/c+a = c/a+b, then prove that each ratio...

    Text Solution

    |

  3. If (b+c-a)x = (c+a-b)y = (a+b-c) z =2,then show that (i/x+1/y) (1/y+1/...

    Text Solution

    |

  4. Answer any one : If in a triangle, the area of the square drawn on on...

    Text Solution

    |

  5. If two tangents are drawn to a circle from a point outside it, them th...

    Text Solution

    |

  6. Answer any one question : Prove that the quadrilateral foemed by the ...

    Text Solution

    |

  7. O is the circumcentre of triangleABC and OD bot Bc, prove that angleBO...

    Text Solution

    |

  8. Answer any one question : Draw an equilateral triangle of side of 6 c...

    Text Solution

    |

  9. Construct a rectangle with sides 8 cm and 6 cm construct a square equa...

    Text Solution

    |

  10. If the measures of three angles of a quadrilateral are (Pi)/(3),(5Pi)/...

    Text Solution

    |

  11. If (sin theta) (x) = (cos theta)/(y), then prove that sin theta - cos ...

    Text Solution

    |

  12. If tan 9^@ = a/b, then prove that (sec^2 81^@)/(1+cot^2 81^@) = (b^2)/...

    Text Solution

    |

  13. Answer any one question : The distance between two pillars is 150 m. ...

    Text Solution

    |

  14. If the angle of depression from a lighthouse of two ships situated in ...

    Text Solution

    |

  15. Answer any two questions : Determine the volume of a solid right circu...

    Text Solution

    |

  16. A hemispherical bowl with radius of 9 cm is completely filled with wat...

    Text Solution

    |

  17. Area of the base of a closed cylindrical water tank is 616 sq. meter a...

    Text Solution

    |

  18. From the data given below, if the meadian is 32 find the value of f1 a...

    Text Solution

    |

  19. Find the mode from the following distribution table :

    Text Solution

    |

  20. In a frequency distribution having 6 class intervals the total frequen...

    Text Solution

    |