Home
Class 12
MATHS
(sin(alpha+beta))/(sin(alpha-beta))=(a+b...

`(sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b)` then `(tan alpha)/(tan beta)=`

A

`a/b`

B

`b/a`

C

`a/(2b)`

D

`(2a)/b`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -II|27 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Statement-I: If mcos(theta + alpha) =ncos(theta-alpha) then tan alpha tan theta =(m+n)/(m-n) Statement:II If (sin(alpha + beta))/(sin(alpha-beta)) =(a+b)/(a-b) , then tan alpha cot beta =a/b Which of the above statements is correct?

Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta.tan alpha=(m+n)/(m-n) Statement II : If (sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b) then tan alpha.cot beta=(a)/(b) Which of the above statements is correct ?

If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b) , then prove that a tan beta = b tan alpha .

If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha +2beta ) tan(2alpha+beta ) =

If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamma)/(tan beta), (beta ne gamma) , then sin 2alpha + sin 2beta + sin 2gamma=

If tan(alpha-beta)=(sin 2beta)/(3-cos2beta) , then

(1+tan alpha tan beta)^(2) + (tan alpha -tan beta)^(2) =

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-PRACTIVE EXERCISE
  1. If (sin A-sinC)/(cosC-cosA)=cotB then angles A,B,C are in

    Text Solution

    |

  2. sinx+siny=3/4 andsinx-siny=2/5 then (tan((x-y)/2))/(tan((x+y)/2))=

    Text Solution

    |

  3. tan theta tan (theta+60^(@))+tan theta tan (theta-60^(@))+tan (theta+6...

    Text Solution

    |

  4. cos(x-y)=3cos(x+y) then cotxcoty=

    Text Solution

    |

  5. (sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b) then (tan alpha)/(tan ...

    Text Solution

    |

  6. If sin 2 x=n sin 2y then (Tan (x+y))/(Tan(x-y))=

    Text Solution

    |

  7. If tan beta =cos theta tan alpha then "cot"^(2)(theta)/2=

    Text Solution

    |

  8. If Tan theta(1)=k cot theta(2) then(cos (theta(1)+theta(2)))/(cos (the...

    Text Solution

    |

  9. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

    Text Solution

    |

  10. If cos theta =(a cos phi+b)/(a+bcosphi) then ("tan"(theta)/2)/("tan"(p...

    Text Solution

    |

  11. In DeltaABC, (sin2A+sin2B+sin 2C)/(sinA+sinB+sinC)=

    Text Solution

    |

  12. If A+B+C=180^(@) then cos A+cos B-cosC=

    Text Solution

    |

  13. If A+B+C=0^(@) then sin A +sin B+sin C=

    Text Solution

    |

  14. If A+B+C=270^(@) then sin 2A+sin2B+sin2C=

    Text Solution

    |

  15. If A+B+C=0^(@) then sin A +sin B+sin C=

    Text Solution

    |

  16. cos 22^(@)+cos 78^(@)+cos80^(@)=

    Text Solution

    |

  17. Statement: If sin A =sin B, cos A=cos B then A=2n pi +B Statement :I...

    Text Solution

    |

  18. Statement I: cos 52^(@)+cos68^(@)+cos172^(@)=1/2 Statement II: 4sin ...

    Text Solution

    |

  19. A=sin78^(@)-sin18^(@)+cos132^(@) B=cos12^(@)+cos84^(@)+cos132^(@)+co...

    Text Solution

    |

  20. Assertion A: In DeltaABC, sum(cos A)/(sin B sin C)=2 Reasin(R):In Del...

    Text Solution

    |