Home
Class 12
MATHS
If 0 lt A, B lt 90^(@), cos A= (5)/(13) ...

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

Text Solution

Verified by Experts

The correct Answer is:
`=(56)/(65)`
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, B lt 90^(@) , such that cos A = 5/13, sin B = 4/5 , find sin (A-B) .

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 90^(@) lt A lt 180^(@) , 180^(@) lt B lt 270^(@) and cos A=-(sqrt(3))/(2) , sin B=-(3)/(5) "then" ( 2 tan B + sqrt(3) tan A)/( cot^(2) A + cos B) =

If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , tan B=-15//8 " then " cos (A+B)=

IF sin(A-B)= 3/5 and sin(A+B)= 4/5 then find sin2A=……..

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 .

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. If tan theta =(cos 11^(@) + sin 11^(@) )/( cos 11^(@)- sin 11^(@)) and...

    Text Solution

    |

  2. If sin A=(12)/(13), cos B= (3)/(5) and neither A nor B is in the first...

    Text Solution

    |

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

    Text Solution

    |

  4. If sin =(1)/(sqrt10), sin beta =(1)/(sqrt5) and alpha , beta are acu...

    Text Solution

    |

  5. If cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi , find the value...

    Text Solution

    |

  6. If cos theta = t(0lt t lt 1) and theta does not lies in the first qua...

    Text Solution

    |

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

    Text Solution

    |

  8. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

    Text Solution

    |

  9. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

    Text Solution

    |

  12. If theta is not an integral multiple of (pi)/(2), prove that tan thet...

    Text Solution

    |

  13. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |