Home
Class 12
MATHS
If alpha=(pi)/21 then (sin 3 alpha+sin 7...

If `alpha=(pi)/21` then `(sin 3 alpha+sin 7 alpha)/(sin 24 alpha+sin 14 alpha)=`

A

`0`

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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

|(sin alpha, cos alpha),(cos alpha, -sin alpha)|=

( sin alpha sin 3alpha + sin 3alpha sin 7 alpha + sin 5 alpha sin 15 alpha )/( sin alpha cos 3 alpha + sin 3alpha cos 7 alpha + sin 5 alpha cos 15 alpha ) =

(( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 alpha - sin alpha ) ( cos 4 alpha - cos 6 alpha ))=

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

(sqrt(2)-sin alpha - cos alpha)/(sin alpha - cos alpha) is equal to

If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha) , then x =

( sin 8 alpha * cos alpha - sin 6 alpha * cos 3 alpha )/(cos 2 alpha cos alpha - sin 3 alpha * sin 4alpha ) =

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-PRACTIVE EXERCISE
  1. If A+B+C=90^(@) then (cos 2A+cos 2B+cos 2C-1)/(sin A sin B sin C)=

    Text Solution

    |

  2. If x+y+z=180^(@) then (sinx+siny+sinz)/("cos"x/2."cos"y/2."cos"z/2)=

    Text Solution

    |

  3. If alpha=(pi)/21 then (sin 3 alpha+sin 7 alpha)/(sin 24 alpha+sin 14 a...

    Text Solution

    |

  4. If (sin A-sinC)/(cosC-cosA)=cotB then angles A,B,C are in

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |