Home
Class 12
MATHS
If tan20^(@) = lambda then show that (ta...

If `tan20^(@) = lambda` then show that `(tan 160^(@) -tan 110^(@))/(1+tan160^(@).tan110^(@)) = (1-lambda^2)/(2lambda)`.

Text Solution

Verified by Experts

The correct Answer is:
`=(1- lambda^(2))/(lambda(2))=(1- lambda^(2))/(2 lambda) =R.H.S`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

(i) If tan 20^(@) = lambda then show that (tan 610^(@) + tan 700^(@))/(tan 560^(@) - tan 470^(@))=(1-lambda^(2))/(1+lambda^(2))

tan 70^(@) - tan 20^(@)=

If tan 40^(@)= lambda , then (tan 140^(@)-tan 130^(@))/(1+ tan 140^(@) tan 130^(@))=

If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) tan 110^(@))=

If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^(@) - tan 110^(@))=

(tan 23^(@) + tan 22^(@))/(1- tan23^(@) * tan 22^(@))=

If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-tan470^(@)) = (1-p^(2))/(1+p^(2))

Show that tan 48^(@) tan 16^(@) tan42^(@) tan 74^(@) =1

Show that : tan 48^(@) tan 16^(@) tan 42^(@) tan 74^(@) = 1 .

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
  1. S.Tcot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1

    Text Solution

    |

  2. Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi...

    Text Solution

    |

  3. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

    Text Solution

    |

  4. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

    Text Solution

    |

  5. IF sintheta=4/5 and theta is not in the first quadrant, find the value...

    Text Solution

    |

  6. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

    Text Solution

    |

  7. If acos theta -bsin theta =c, then show that asine theta + bcos =pm s...

    Text Solution

    |

  8. If 3sin A + 4 cos A = 5, then find the value of 4 sin theta - 3 cos th...

    Text Solution

    |

  9. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

    Text Solution

    |

  10. Show that sin 1140^(@) cos 390^(@)-cos 780^(@) sin 750^(@) = 1//2.

    Text Solution

    |

  11. Show that cos 340^(@) cos 40^(@)+sin 200^(@) sin 140^(@) = 1/2.

    Text Solution

    |

  12. Find the value of tan 100^(@)+tan125^(@)+tan 100^(@). Tan 125^(@).

    Text Solution

    |

  13. Prove that tan 50^(@) -tan40^(@)-2tan10^(@).

    Text Solution

    |

  14. Prove that (cos 9^(@)+sin9^(@))/(cos9^(@)-sin9^(@)) = cot 36^(@).

    Text Solution

    |

  15. Show that cos 42^(@) + cos 78^(@) + cos 162^(@) = 0

    Text Solution

    |

  16. Prove that sin 50^(@) - sin 70^(@) +sin 10^(@) =0.

    Text Solution

    |

  17. Prove that cos 48^(@) . Cos 12^(@) =(3+sqrt5)/(8).

    Text Solution

    |

  18. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

    Text Solution

    |

  19. Prove that sin^(2)42^(@)-cos^(2)78^(@).

    Text Solution

    |

  20. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

    Text Solution

    |