Home
Class 12
MATHS
If 4nalpha =pi then cot alpha cot 2 alph...

If `4nalpha =pi` then `cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha` `n in Z` is equal to

A

0

B

1

C

n

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If 4n alpha=pi then cot alpha cot2 alpha cot3 alpha...cot(2n-1)alpha n in Z is equal to

If tan alpha+cot alpha=2 then

cot alpha+cot(60+alpha)-cot(60-alpha)=3cot3 alpha

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

If tan alpha+cot alpha=sqrt3 , then tan^(3)alpha+cot^(3)alpha is equal to

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)

(x tan alpha+y cot alpha)(x cot alpha+y tan alpha)-4xy cos^(2)2 alpha=

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

    Text Solution

    |

  2. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  3. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  4. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  5. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

    Text Solution

    |

  6. if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alph...

    Text Solution

    |

  7. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  8. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  9. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  10. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  11. If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t...

    Text Solution

    |

  12. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is (4/(sqrt...

    Text Solution

    |

  13. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  14. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  15. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

    Text Solution

    |

  16. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

    Text Solution

    |

  17. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

    Text Solution

    |

  18. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  19. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  20. The maximum value of (cosalpha(1))(cosalpha(2))...(cosalpha(n)), under...

    Text Solution

    |