Home
Class 11
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 RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(A)|39 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(B)|12 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 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 .

In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13) , then show that sin C= (16)/(65)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(F)
  1. If 0 lt A, B lt 90^(@), cos A= (5)/(13) and sin B =(4)/(5) then find s...

    Text Solution

    |

  2. If A+B+C=pi then prove that sin2A-sin2B+sin2C=4cosAsinBcosC

    Text Solution

    |

  3. If A, B, C are angles of a triangle , prove that cos 2A - cos 2B + ...

    Text Solution

    |

  4. If A, B, C are angles in a triangle , prove that sin A+ sin B -sin ...

    Text Solution

    |

  5. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

    Text Solution

    |

  6. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

    Text Solution

    |

  7. If A, B, C are angles in a triangle , then prove thatcos^(2)A+cos^(2...

    Text Solution

    |

  8. If A+B+ C =pi, then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2...

    Text Solution

    |

  9. If A, B , C =pi, then prove that cos ^(2). (A)/(2)+ cos^(2). (C)/(2)...

    Text Solution

    |

  10. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

    Text Solution

    |

  11. In Delta ABC, prove that cos. (A)/(2)+cos. (B)/(2) - cos .(C)/(2)=4cos...

    Text Solution

    |

  12. In triangle ABC , prove that sin .(A)/(2)+ sin. (B)/(2) -sin. (C)/(2)=...

    Text Solution

    |

  13. If A+B+C=(pi)/(2), then prove that cos 2A + cos 2B + cos 2C=1+4 sin A ...

    Text Solution

    |

  14. If A+B+C=(3pi)/(2), prove that cos ^(2)A+ cos ^(2) B- cos ^(2)C=-2 cos...

    Text Solution

    |

  15. If A+B+C=270^(@) then show that sin2A+sin2B-sin2C=-4sinAsinBcosC

    Text Solution

    |

  16. If A+B+C=270^(@) then show that sin2A+sin2B-sin2C=-4sinAsinBcosC

    Text Solution

    |

  17. If A+B+C=0^(@) then prove that sinA+sinB-sinC=-4"cos"A/2"cos"B/2"sin...

    Text Solution

    |

  18. If A+B+C+D=360^(@) then show that sinA-B+sinC-sinD= -4cos((A+B)/2)...

    Text Solution

    |

  19. If A+B+C+D=360^(@), the prove that cos 2A + cos 2B + cos 2C + cos 2D =...

    Text Solution

    |

  20. If A+B+C = 2S, then prove that sin(S-A)+sin(S-B)+sinC = 4 cos ((S-A)...

    Text Solution

    |

  21. IF A+B+C=2S, then prove that cos(S-A)+cos(S-B)+cosC=-1+4cos""(S-A)/2...

    Text Solution

    |