Home
Class 12
MATHS
(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 c...

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

A

`cos alpha//2`

B

`cot alpha`

C

`tanalpha//2`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos
  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -I|15 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

sin 2 alpha - cos 2 alpha tan alpha =

Prove that (sin alpha+sin2 alpha+sin3alpha+sin4alpha)/(cos alpha+cos 2 alpha+cos 3 alpha+cos4 alpha)=tan((5 alpha)/2)

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

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

( sin(n+1) alpha - sin (n-1)alpha )/( cos (n+1) alpha + 2 cos n alpha + cos (n-1) alpha )=

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-EXERCISE -II
  1. (1+cos 56^(@)+cos58^(@)-cos66^(@))/(cos28^(@)cos29^(@)sin33^(@))=kcos(...

    Text Solution

    |

  2. (cos20^(@)+8sin10^(@)sin50^(@)sin70^(@))/(sin^(2)80^(@))=

    Text Solution

    |

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

    Text Solution

    |

  4. If cos A=3/4 then 32 "sin"A/2."sin"(5A)/2=

    Text Solution

    |

  5. ((cosalpha-cos 3 alpha)(sin8alpha+sin 2alpha))/((sin 5alpha-sin alpha)...

    Text Solution

    |

  6. If 3 sin alpha=5sin beta then (tan((alpha+beta)/2))/(tan((alpha-beta)/...

    Text Solution

    |

  7. m tan (theta-30)=n tan (theta+120) then (m+n)/(m-n)=

    Text Solution

    |

  8. If x/y=(cos A)/(cos B) then (xtannA+ytanB)/(x+y) is equal to

    Text Solution

    |

  9. If (cos(theta(1)-theta(2)))/(cos(theta(1)+theta(2)))+(cos (theta(3)+th...

    Text Solution

    |

  10. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  11. sin alpha=sinbeta, cos alpha=cos beta then

    Text Solution

    |

  12. The vlaue of sinx+siny=a and cos x+cosy=b then cos(x-y)=

    Text Solution

    |

  13. (sin 7 theta+ 6 sin 5 theta+17sin 3 theta+12sin theta)/(sin 6 theta+5 ...

    Text Solution

    |

  14. If alpha+beta+gamma=2 theta then cos theta+cos(theta-alpha)+cos (the...

    Text Solution

    |

  15. If A+B+C=2S then cos^(2)S+cos^(2)(S-A)+cos^(2)(S-B)+cos^(2)(S-C)=

    Text Solution

    |

  16. If A+B+C=180^(@), then sin 2 A+sin 2B-sin2C=

    Text Solution

    |

  17. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

    Text Solution

    |

  18. If A+B+C=90^(@) then sin^(2)A+sin^(2)B+sin^(2)C=

    Text Solution

    |

  19. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

    Text Solution

    |

  20. If A+ B+C= 180^(@) " then " cos 2A+ cos 2B + cos 2C+ 1=

    Text Solution

    |