Home
Class 11
MATHS
cot(pi/12) + cot((3pi)/12) + cos ((9pi)/...

`cot(pi/12) + cot((3pi)/12) + cos ((9pi)/12)+ cos ((11pi)/12)`

A

`cos 2 pi`

B

`cos pi`

C

`cos""(2)/(pi)`

D

`cos""(5pi)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

cot ((pi) / (12)) + cot ((3 pi) / (12)) + cos ((9 pi) / (12)) + cos ((11 pi) / (12))

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) The value of cos(alpha+beta+gamma) is equal to (A) cos((5pi)/12) (B) cos ((7pi)/12) (C) -cos(pi/12) (D) -cos ((7pi)/12)

cos(pi/12)+sin^2((3pi)/12)+sin^2((9pi)/12)+cos((11pi)/12)=...

Find the value of 2cos((5 pi)/(12))cos((pi)/(12)) and 2sin((5 pi)/(12))cos((pi)/(12))

(sin((5pi)/12)-cos((5pi)/12))/(cos((5pi)/12)+sin((5pi)/12))=

Prove that (i) " 2sin " (5pi)/(12) " sin " (pi)/(12)=(1)/(2) (ii) " 2 cos " (5pi)/(12) " cos " .(pi)/(12)=(1)/(2) (iii) " 2 sin ".(5pi)/(12) " cos " (pi)/(2) = ((2+sqrt(3))/(2))

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

Prove that (i) "sin " (7pi)/(12) " cos " (pi)/(2) - "cos " *(7pi)/(12) " sin " (pi)/(4) = (sqrt(3))/(2) (ii) " sin " (pi)/(4) " cos " (pi)/(2) + "cos"(pi)/(4) " sin " (pi)/(12) = (sqrt(3))/(2) (iii) " cos " (2pi)/(3) " cos " (pi)/(4) - " sin " (2pi)/(3) " sin " (pi)/(4) =(-(sqrt(3) +1))/(2sqrt(2))

cot((pi)/(20))cot((3 pi)/(20))cot((5 pi)/(20))cot((7 pi)/(20))cot((9 pi)/(20))cot((15 pi)/(20))=

The value of 2(cos pi/11 + cos(3pi)/11 + cos(5pi)/11 + cos(7pi)/11 + cos(9pi)/11) is……….

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If : a = tan x, b = tan y , c=sqrt(1+a^(2)),d= sqrt(1+b^(2)), "then" ...

    Text Solution

    |

  2. cos^2((pi)/(4)-theta)+cos^2((pi)/(4)+theta)=.....

    Text Solution

    |

  3. cot(pi/12) + cot((3pi)/12) + cos ((9pi)/12)+ cos ((11pi)/12)

    Text Solution

    |

  4. cot,(pi)/(20).cot.(3pi)/(12)+cot.(7pi)/(20)cot.(9pi)/(20)=....

    Text Solution

    |

  5. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

    Text Solution

    |

  6. If H is the orthocentre of fDelta ABC, then : sin(angle BHC)=

    Text Solution

    |

  7. If H is the orthocentre of Delta ABC, then : cos(angle AHB)=

    Text Solution

    |

  8. tan theta * (1+cos 2 theta)= A)2 sin thetaB)sin 2 thetaC)2 cos thetaD)...

    Text Solution

    |

  9. (1+sec 2 theta)*sqrt(sec^(2) theta-1)= A)2 sec thetaB)sec 2 thetaC)2 t...

    Text Solution

    |

  10. csc theta - 2 cos theta * cot 2 theta = A)2 sin thetaB)sin 2 thetaC)2 ...

    Text Solution

    |

  11. If : (1+sin theta +cos theta)/(1+sin theta - cos theta)=f((theta)/(2))...

    Text Solution

    |

  12. (1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A)) is equal to

    Text Solution

    |

  13. (sin 3 theta)/(sin theta)-(cos 3 theta)/(cos theta)= A) sin 2 thetaB) ...

    Text Solution

    |

  14. (sin 2 theta)/(sin theta)-(cos 2 theta)/(cos theta)= A)sec theta B)ta...

    Text Solution

    |

  15. sin 2 theta * (tan theta + cot theta)= A)sec thetaB)csc thetaC)1D)2

    Text Solution

    |

  16. If sqrt((1-sinx)/(1+sinx))= f(pi/4-x/2) then f=

    Text Solution

    |

  17. cot ((A)/(2))-tan((A)/(2))= A)2 sin AB)2 cos AC)2 tan AD)2 cot A

    Text Solution

    |

  18. 8 sin theta * cos theta * cos 2 theta * cos 4 theta = A)sin 4 thetaB)...

    Text Solution

    |

  19. 4 sin theta * cos^(3) theta-4 cos theta * sin ^(3)theta= A)4 cos theta...

    Text Solution

    |

  20. 1-8 cos ^(2) theta + 8 cos ^(4) theta=

    Text Solution

    |