Home
Class 12
MATHS
If 0 lt A lt B lt (pi)/(4) and sin (A+B)...

If `0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/(5)`, then find the value of `tan 2A`.

Text Solution

Verified by Experts

The correct Answer is:
`=(3)/(4)`
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

If 0 lt A lt B lt pi/4, cos ( A+B) =(11)/(61) and sin (A-B) =(24)/(25) "then" sin 2A +sin 2B

If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)/(4) , then find the value of cos B .

If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2 A and cos2A

If cos 0 =(-3)/(5) and pi lt 0 lt (3pi)/(2) , find the value of tan theta //2

If 0 lt A, B lt 90^(@), cos A= (5)/(13) and sin B =(4)/(5) then find sin (A+B) .

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

    Text Solution

    |

  2. If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =...

    Text Solution

    |

  3. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

    Text Solution

    |

  4. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

    Text Solution

    |

  5. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |