Home
Class 12
MATHS
The value of the expression (sin7al...

The value of the expression
`(sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha)`, where `alpha=(pi)/(5)` is equal to :

A

`(sqrt(5)-1)/(4)`

B

` (sqrt(5)+1)/(4)`

C

`(sqrt(5)+1)/(2)`

D

`(sqrt(5)-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos
  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|12 Videos
  • COMPLEX NUMBERS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

Similar Questions

Explore conceptually related problems

sin3 alpha=4sin alpha sin(x+alpha)sin(x-alpha)

sin alpha-sin2 alpha+sin3 alpha=4cos(3 alpha)/(2)cos alpha sin(alpha)/(2)

Solve: sin3 alpha=4sin alpha sin(x+alpha)sin(x-alpha), where alpha!=n pi,n in Z

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

If alpha=(pi)/(21) then (sin3 alpha-sin7 alpha)/(sin24 alpha+sin14 alpha)=

sin alpha+sin2 alpha+sin4 alpha+sin5 alpha=4cos((alpha)/(2))cos(3(alpha)/(2))sin3 alpha

sin alpha+sin2 alpha+sin4 alpha+sin5 alpha=4cos((alpha)/(2))cos(3(alpha)/(2))sin3 alpha

prove that (sin alpha+sin3 alpha+sin5 alpha)/(cos alpha+cos3 alpha+cos5 alpha)=tan3 alpha

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

VIKAS GUPTA (BLACK BOOK)-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+1...

    Text Solution

    |

  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

    Text Solution

    |

  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

    Text Solution

    |

  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  6. If 10sin^4 alpha +15cos^4alpha=6 then the value of 9cosec^4 alpha + 8...

    Text Solution

    |

  7. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

    Text Solution

    |

  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

    Text Solution

    |

  16. If cos18^(@)-sin18^(@)=sqrt(n)sin27^(@), then n=

    Text Solution

    |

  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  18. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

    Text Solution

    |

  19. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

    Text Solution

    |

  20. If tan20^0+tan40^0+tan80^0-tan60^0= lambdasin40^0,

    Text Solution

    |

  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |