Home
Class 10
MATHS
IF costheta gt 0,tan theta +sin theta =...

IF `costheta gt 0,tan theta +sin theta =m` and `tan theta-sin theta=n` then `m^2-n^2`=…….

A

4

B

4mn

C

`4sqrt(mn)`

D

`sqrt(mn)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

If tan theta + sin theta = m and tan theta - sin theta = n , then

If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =n, then show that m^(2)-n ^(2)=4sqrtmn

If tan theta + sin theta = m, tan theta - sin theta = n " then " (m^(2)-n^(2))^(2)=

If tan theta + tan 2theta = tan 3theta , then theta =

If cos m theta = sin n theta , then theta =

If tan theta + tan 2theta + tan 3theta = 0 then theta =

If tan theta + cot theta =2 , " then " sin theta =

Show that (1)/(cos theta) - cos theta = tan theta. sin theta

If tan theta + tan 2theta + tan theta tan2theta =1 then theta =

If 3 tan ^(2) theta - 2 sin theta = 0 " then " theta =

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY (MULTIPLE CHOICE QUESTION)-TRIGONOMETRY (MULTIPLE CHOICE QUESTION)
  1. Find the extreme values of 7cosx-24sinx+5 over R.

    Text Solution

    |

  2. IF (cosalpha)/a=(sinalpha)/b then a cos 2alpha+bsin 2 alpha=……….

    Text Solution

    |

  3. IF costheta gt 0,tan theta +sin theta =m and tan theta-sin theta=n th...

    Text Solution

    |

  4. 1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@))=

    Text Solution

    |

  5. cos100^@.cos40^@+sin100^@.sin40^@=……..

    Text Solution

    |

  6. IF tan theta+cot theta=x, sec theta-cos theta=y then eliminate 'theta'...

    Text Solution

    |

  7. The angles of a Quadrilateral are in A.P. Greatest angle is double the...

    Text Solution

    |

  8. IF sin(A-B)=3/5 and sin(A+B)=4/5 then find sin2A=……..

    Text Solution

    |

  9. IF 5sinx+12cosx=7 then find 5cosx-12sinx=……..

    Text Solution

    |

  10. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

    Text Solution

    |

  11. Find the condition that sec^2theta=(4xy)/((x+y)^2) is true.

    Text Solution

    |

  12. Solve: tan^2theta+sec2theta=1,0^@lethetale90^@

    Text Solution

    |

  13. In any Delta^(l e) ABC then cot""A/2+cot"+"B/2""cot""C/2=..........

    Text Solution

    |

  14. Given alpha+beta+gamma=pi then sin^2alpha+sin^2beta-sin^2gamma is equa...

    Text Solution

    |

  15. IF alpha+beta=pi/2 and gamma+beta=alpha then find tan alpha.

    Text Solution

    |

  16. Find the value of the expression sqrt3 cosec 20^@-sec20^@=…….

    Text Solution

    |

  17. IF x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then find 'P'.

    Text Solution

    |

  18. IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...

    Text Solution

    |

  19. IF y=(tan(pi/4+theta)+tan(pi/4-theta))/(tan(pi/4+theta)-tan(pi/4-theta...

    Text Solution

    |

  20. From a ship mast-head 150m.high, the angle of depression of a boat is ...

    Text Solution

    |