Home
Class 14
MATHS
If cot theta + cos theta = m and cot the...

If `cot theta + cos theta = m` and `cot theta - cos theta =`n then prove that: `m^(2) - n^(2) = 4sqrt(mn)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11A|76 Videos

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

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

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

If cos ec theta+cot theta=m and cos ec theta-cot theta=n, prove that mn=1

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 cot theta(1+sin theta)=4man d cot theta(1-sin theta)=4n prove that (m^(2)-n^(2))^(2)=mn

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, prove that a^(2)+b^(2)=m^(2)+n^(2)

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)

If ("cosec" theta +cot theta )=m and ("cosec"theta - cot theta)=n , show that mn=1 .

If 6cot theta+2cos ec theta=cot theta+5coec theta then cos theta=

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. If cot theta + cos theta = m and cot theta - cos theta =n then prove t...

    Text Solution

    |

  2. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

    Text Solution

    |

  3. 2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta, then the...

    Text Solution

    |

  4. If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then the value of co...

    Text Solution

    |

  5. If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin t...

    Text Solution

    |

  6. A and B are complementary angles, then find the value of sinAcosB+cosA...

    Text Solution

    |

  7. The least value of 2sin^2theta+3cos^2theta is

    Text Solution

    |

  8. sec^(4)theta - sec^(2)theta equals

    Text Solution

    |

  9. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

    Text Solution

    |

  10. If sec theta - cosec theta = 0 , then the value of (sec theta + cosec ...

    Text Solution

    |

  11. If P sin theta = sqrt(3) and P costheta =1, then the value of P is:

    Text Solution

    |

  12. If mu(n) = cos^(n)alpha + sin^(n)alpha, then the value of 2mu(6)- 3mu(...

    Text Solution

    |

  13. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

    Text Solution

    |

  14. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  15. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

    Text Solution

    |

  16. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

    Text Solution

    |

  17. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

    Text Solution

    |

  18. If tan2theta.tan4theta=1 , then the value of tan3theta is

    Text Solution

    |

  19. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

    Text Solution

    |

  20. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

    Text Solution

    |

  21. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

    Text Solution

    |