Home
Class 11
MATHS
sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=...

`sum_(k=1)^3 cos^(2)((2k-1)(pi)/(12))=`

A

0

B

`1/2`

C

`(-1)/(2)`

D

`3/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|11 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The value of 1+sum_(k=0)^14{(cos)((2k+1)pi)/(15)+(isin)((2k+1)pi)/(15)} is

Find the value of sum_(k=1)^(10){sin((2kpi)/(11))-i cos ((2kpi)/(11))}

If n in N, sum_(k=1)^(n)cos^(-1)(x_(k))=npi then the value of sum_(k=1)^(n)sin^(-1)(x_(k))=

If n in N, sum_(k=1)^(n)sin^(-1(x_(k))=(npi)/2 then the value of sum_(k=1)^(n)x_(k)=

sum_(k=1)^(2n+1) (-1)^(k-1) k^2 =

If |a| lt 1, b = sum_(k=1)^(oo) (a^(k))/(k) rArr a=

The value of cot(sum_(n=1)^(23)cot^(-1)(1+sum_(k=1)^(n)2k)) is

Statement - 1 : The sum of the series 1+ ( 1+2+4) + ( 4+6+9) + ( 9+ 12+ 16) + ... + ( 361 + 380 + 400) is 8000 Statement-2: sum_(k=1)^(n) [ k^(3) - (k-1)^(3) ] = n^(3) , for any natural number 'n'

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - I
  1. If alpha and beta are complementary angles then sin^(2)(90^(@)-alpha)+...

    Text Solution

    |

  2. cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(@)+...+cos^(2)81^(@)=

    Text Solution

    |

  3. sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

    Text Solution

    |

  4. tan1^(@).tan2^(@).tan3^(@)...tan89^(@)=

    Text Solution

    |

  5. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

    Text Solution

    |

  6. cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9...

    Text Solution

    |

  7. Sin24^(@)+sin32^(@)+sin204^(@)+sin212^(@)=

    Text Solution

    |

  8. cos. (pi)/(7) + cos. (2pi)/(7) + cos. (3pi)/(7) + cos. (4pi)/(7) + cos...

    Text Solution

    |

  9. If A,B,C,D are the angles of a quadrilateral then cos""((A+B)/(2))+ ...

    Text Solution

    |

  10. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

    Text Solution

    |

  11. If sum(i=1)^(n)sin theta(i)=n then cos theta(1) + cos theta(2) + ...+c...

    Text Solution

    |

  12. If sin theta + cosec theta =2 then sin^(n) theta + cosec^(n) theta =

    Text Solution

    |

  13. (1+sec theta - tan theta)/(1+sec theta + tan theta)=

    Text Solution

    |

  14. If sec theta + tan theta = 1.5 then theta lies in the quadrant

    Text Solution

    |

  15. If x=sin 130^(@) + cos 130^(@) then

    Text Solution

    |

  16. If u(n) = cos^(n) theta + sin^(n) theta then 2u(6)-3u(4)=

    Text Solution

    |

  17. 3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin...

    Text Solution

    |

  18. If k=(1+ sin A) (1+ sin B)(1+ sin C)=(1- sin A) (1- sin B) (1- sin C) ...

    Text Solution

    |

  19. If x=a cos^(3) theta , y= a sin^(3) theta then

    Text Solution

    |

  20. If x= a sec^(n) theta , y = b tan^(n) theta then (x/a)^(2//n) -(y/b)^(...

    Text Solution

    |