Home
Class 12
MATHS
If B,A+B are acute angle , sin(A+B)=12/1...

If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

A

`(119)/(169)`

B

`-(119)/(169)`

C

`(169)/(119)`

D

`-(169)/(119)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)|147 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

If A,B are acute angles , sin(A-B)=1/2 , sin A = 1/2 , then B=

If A,B are acute angle , sin 4/5 , tan B=5/12 , then cos (A-B)=

In Delta ABC, A is an obtuse angle , sin A =3//5 , sin B= 5//13 " then " sin C=

If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

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 A and B are acute angles such that sinA = sin^(2) B,cos^(2) A = 3 cos^(2) B then

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If sin A=1//sqrt(10), sin B= 1//sqrt(5) where A and B are positive an...

    Text Solution

    |

  2. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

    Text Solution

    |

  3. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

    Text Solution

    |

  4. If cos A =-3//5 , sin B=7//25 and 90^(@) lt A lt 180^@,0^(@) lt B lt ...

    Text Solution

    |

  5. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

    Text Solution

    |

  6. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

    Text Solution

    |

  7. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

    Text Solution

    |

  8. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

    Text Solution

    |

  9. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

    Text Solution

    |

  10. If tan (A-B)=7//24 , tan A=4//3 " where " A,B are acute , then A+B=

    Text Solution

    |

  11. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

    Text Solution

    |

  12. If cot theta = 8//15 and theta does not lie in the first quadrant , t...

    Text Solution

    |

  13. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

    Text Solution

    |

  14. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

    Text Solution

    |

  15. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

    Text Solution

    |

  16. If tan alpha , tan beta are the roots of the equation x^(2) + px+q=...

    Text Solution

    |

  17. If an angle alpha is divided into two parts A and B such that A-B=x ...

    Text Solution

    |

  18. In a DeltaPQR , if 3 sin P+4 cos Q=6 and 4 sin Q+3 cos P=1 , then the...

    Text Solution

    |

  19. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

    Text Solution

    |

  20. cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

    Text Solution

    |