Home
Class 10
MATHS
If costheta= x/sqrt(x^2+y^2) show that ...

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

Promotional Banner

Topper's Solved these Questions

  • HOWRAH ZILLA SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos
  • KANACHI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

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

If a cos theta+b sin theta = c then show that a sin theta- b cos theta= +- sqrt(a^2+b^2-c^2)

If sintheta -cos theta=sqrt(2)costheta,"show that" sintheta+costheta=sqrt(2)sintheta(0ltthetalt pi/2).

If x sin ^(3) theta + y cos ^(3) theta = sin theta cos theta and x sin theta = y cos theta, then which one of the following is correct ?

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

If cos theta - sin theta = sqrt2 sin theta , then show that cos theta+sin theta = sqrt2 cos theta .

IF 2 costheta=x+1/x then show that 2 cos3 theta=x^3+1/x^3

Whatever be the values of theta , prove that the locus of a point of intersection of the lines x cos theta + y sin theta = a and x sin theta - y cos theta = b is a circle.

Eliminate theta : x=2 sin theta, y=3 cos theta.

If costheta=tan^2((theta)/2) show that costheta=sqrt2-1

UNITED BOOK HOUSE-JHOWDANGA SAMMILANI HIGH SCHOOL-EXERCISE
  1. If 15 farmers can cultivate 18 bighas of land in 5 days, then calculat...

    Text Solution

    |

  2. If a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1, show that 1/(1+a)+1/(1+b)+1/(1+c)=...

    Text Solution

    |

  3. If the 1st and 2nd of the five numbers in continued proportion are 2 a...

    Text Solution

    |

  4. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  5. State and prove Pythagoras theorem.

    Text Solution

    |

  6. N is the foot of the perpendicular form P to the diameter AB of the ci...

    Text Solution

    |

  7. Two chords AB and CD of a cricle with centre O intersect at P. Prove t...

    Text Solution

    |

  8. Draw a right angled triangle whose adjacent sides of the right angle a...

    Text Solution

    |

  9. Geometrically find the value of 2sqrt7. (Only traces f construction a...

    Text Solution

    |

  10. If the sum of two angles is 135^@ and their difference is Pi/2, then d...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the value of cos^2 30^@-2cos^2 60^@-4sin^2 45^@+tan45^@.

    Text Solution

    |

  13. Two towers are situated at a distance of 150 metre and the height of o...

    Text Solution

    |

  14. From a point on the horizontal line through the foot of a chimney the ...

    Text Solution

    |

  15. There were 800 lit . 735 lit. and 575 lit. Kerosine oil in three Keros...

    Text Solution

    |

  16. There is come water in a cylindrical pot whose base diameter is 12 cm ...

    Text Solution

    |

  17. A right circular cylindrical tank of 9 metre height is filled with wat...

    Text Solution

    |

  18. Find the mean of the following data .

    Text Solution

    |

  19. Find the median of given data :

    Text Solution

    |

  20. Make a cumulative frequency (less than type) table and draw a o give ...

    Text Solution

    |