Home
Class 12
MATHS
In a Delta ABC, If tan .(A)/(2)=(5)/(6)...

In a `Delta ABC, ` If `tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37)`, then show that ` tan ((C)/(2))=(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
`tan . (C)/(2)=(2)/(5)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise VSAQ|51 Videos
  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC, " if " tan""(A)/(2)=(5)/6 , tan""(B)/(2)=(20)/(37) " then " tan""(C)/(2)=

If tan ""(A)/(2) = (5)/(6) , tan "" (B)/(2) = ( 20 )/( 37) then show that tan "" (C )/(2) = (2)/(5) . Also show that a,b,c are in A.P.

In Delta ABC, sum (a+b) tan ((A-B)/2)=

In aDelta^("le") ABC If "Tan"(A)/(2)=(5)/(6),"Tan"(B)/(2)=(20)/(37) then "Tan"(C)/(2)=

In Delta ABC tan "" ( A)/(2) = ( 5)/( 6) , tan "" ( C )/(2) = (2)/(5) then a,b,c are such that

If tan "" (A ) /(2) = (5)/(6) , tan "" ( B)/(2) = ( 20 )/( 37) " then " a,b,c are in

In Delta ABC, tan""(A)/(2)+tan ""(B)/(2)=

In Delta ABC, (b+c-a) tan (A//2) =

If tan.(A)/(2)=(5)/(6)andtan.(C)/(2)=(2)/(5) then determine the relation between a, b,c

In Delta ABC , if Tan . A/2 = 5/6 " and " Tan. B/2 = 20/37 then the sides are in

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

    Text Solution

    |

  2. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

    Text Solution

    |

  3. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  4. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

    Text Solution

    |

  5. For any alpha in R, prove that cos ^(2) (alpha -(pi)/(4))+ cos ^(2) (a...

    Text Solution

    |

  6. For alpha , beta in R, prove that (cos alpha + cos beta )^(2)+ (sin al...

    Text Solution

    |

  7. If none of A,B, A+B is an integral multiple of pi, then prove that (1-...

    Text Solution

    |

  8. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

    Text Solution

    |

  9. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

    Text Solution

    |

  10. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

    Text Solution

    |

  11. If none of the denominators is zero, prove that .

    Text Solution

    |

  12. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |

  13. Prove that tan A. (tan 60^(@) +A). Tan (60^(@)-A)=tan 3A and hence fi...

    Text Solution

    |

  14. Prove that cos 12^(@) + cos 84^(@) +cos 132^(@) + cos 156^(@) =-1//2

    Text Solution

    |

  15. Prove that cos^(2)76^(@)+cos^(2)16^(@)-cos76^(@)cos16^(@)=(3)/(4)

    Text Solution

    |

  16. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

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

    Text Solution

    |

  18. Sketch the graph of tanx between 0 and pi//4

    Text Solution

    |

  19. Sketch the graph of sinx in the intervals |-pi, pi]

    Text Solution

    |

  20. Sketch the graph of cos 2x in the intervals |0, pi]

    Text Solution

    |