Home
Class 14
MATHS
If tantheta+sintheta=m and tan theta-sin...

If `tantheta+sintheta=m and tan theta-sin theta=n`, then find the value of `m^(2)-n^(2)`.

A

4 mn

B

`2sqrt(mn)`

C

`4sqrt(mn)`

D

`2sqrt(m//n)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY AND ITS APPLICATIONS

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|18 Videos

  • TIME, SPEED AND DISTANCE

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

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

If cot theta+costheta=m and cot theta-costheta=n , then find the value of m^(2)-n^(2) .

If tantheta+sintheta=m and tantheta-sintheta=n , then prove that: m^(2)-n^(2)=4sqrt(mn)

If tantheta +sintheta = m and tantheta-sintheta=n , then prove that m^(2)-n^(2)=4sinthetatantheta .

If tan theta+sin theta=m and tan theta-sin theta=n then prove m^(2)-n^(2)=4sqrt(mn)

If (tan theta + sin theta) =m and (tan theta - sin theta) = n , prove that (m^(2)-n^(2))^(2)=16mn.

If tan theta+sin theta=m and tan theta-sin theta=n show that m^(2)-n^(2)=4sqrt(nm)

If tantheta.tan2theta=1 , then find the value of sin^(2)2theta+tan^(2)2theta .

DISHA PUBLICATION-TRIGONOMETRY AND ITS APPLICATIONS-Practice Exercise (Foundation Level)
  1. Evaluate : cos1^(@)cos2^(@)cos3^(@). . . cos179^(@)

    Text Solution

    |

  2. sin^2theta+cosec^2theta is always

    Text Solution

    |

  3. If sintheta+costheta=a and (sintheta+costheta)/(sinthetacostheta)=b, t...

    Text Solution

    |

  4. The value of (sin^2""7""1/2""+cos^2""7""1/2""^@)-(sin^2""30^@+cos^2""3...

    Text Solution

    |

  5. If tan15^@=2-sqrt3, then the value of cot^2""75^@

    Text Solution

    |

  6. If x=psectheta and y=qtantheta then

    Text Solution

    |

  7. If btantheta=a, the value of (asintheta-bcostheta)/(asintheta+bcosthet...

    Text Solution

    |

  8. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

    Text Solution

    |

  9. tan9^@xxtan27^@xxtan63^@xxtan81^@= (a)4 (b)3 (c)2 (d)1

    Text Solution

    |

  10. In the adjoining figure, the length of BC is (a)2sqrt3 cm (b)3sq...

    Text Solution

    |

  11. If the angle of depression of an object from a 75 m high tower is 30^@...

    Text Solution

    |

  12. The angle of elevation of the top of a tower at a point G on the groun...

    Text Solution

    |

  13. The top of a broken tree has its top touching the ground (shown in the...

    Text Solution

    |

  14. An aeroplane flying horiontally 1 km above the ground is observed at a...

    Text Solution

    |

  15. A ladder 25 m long is leaning against a wall which is perpendicular to...

    Text Solution

    |

  16. If the lengthof the shadow of a tower is sqrt(3) times its height of t...

    Text Solution

    |

  17. The angles of elevation of the top of a tower from two points at dista...

    Text Solution

    |

  18. An aeroplane at a height of 600 m passes vertically above another aero...

    Text Solution

    |