Home
Class 12
MATHS
If tan((alphapi)/(4))=cot((betapi)/(4)),...

If `tan((alphapi)/(4))=cot((betapi)/(4))`, then n is an integer.

A

`alpha+beta=0`

B

`alpha+beta=2n`

C

`alpha+beta=2n+1`

D

`alpha+beta=2(2n+1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2007

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|100 Videos

  • QUESTION PAPER 2009

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If tan((alpha pi)/4)=cot((beta pi)/4) then

If tan ""(alpha pi)/(4) =cot ""(beta pi)/(4), then which one of the following is correct ?

cot (- (15pi)/(4))

tan ((pip)/4) = cot((qpi)/4) if :

If sin (pi cot theta)= cos (pi tan theta) and n is an integer, then prove that the value of cot 2 theta is of the form (1)/(4) +k .

If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the general value of theta is-

The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/(4))),(-sin""((pi)/(4)),cos""((pi)/(4))):})^n is an identity matrix of order 2 is

(i) If sin(pi/2costheta) = cos(pi/2 sin theta) , show that, +- cos(theta + pi/4) =(4n+1)/sqrt(2) where n= any integer. (ii) If tan(pi cos theta) = cot(pi sin theta) , prove that, cos(theta - pi/4) = (2n+1)/(2sqrt(2)), n=0, -1,1,-2,2 ,............

If tan (pi cot theta )= cot (pi tan theta) , then show that tan theta= (1)/(4)[ 2 n+ 1+- sqrt(4n^(2)+4n-15)] , where n gt 1 or n lt -2 .

The numbers tan (-(11pi)/(6)), tan((21pi)/(4))and cot ((283pi)/(6)) are in-

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. The sum of the infinite series ((1)/(3))^(2)+(1)/(3)((1)/(3))^(4)+(1)/...

    Text Solution

    |

  2. The values of x for which the given matrix [(-x,x,2),(2,x,-x),(x,-2,-x...

    Text Solution

    |

  3. If tan((alphapi)/(4))=cot((betapi)/(4)), then n is an integer.

    Text Solution

    |

  4. The principal value of sin^(-1)(tan(-(5pi)/(4))) is

    Text Solution

    |

  5. The value of cos""(pi)/(15)cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(1...

    Text Solution

    |

  6. If a, b, c be in Arithmetic progression, then, then value of (a+2b-c)(...

    Text Solution

    |

  7. The equation x^(2)-3|x|+2=0 has

    Text Solution

    |

  8. The principal amplitude of (sin40^(@)+icos40^(@))^(5) is

    Text Solution

    |

  9. If log(5)log(5)log(2)x=0 then value of x is

    Text Solution

    |

  10. A person draws out two balls successively from a bag containing 6 red ...

    Text Solution

    |

  11. If three real numbers a, b, c are in Harmonic Progression, then which ...

    Text Solution

    |

  12. A mappin f : N rarrN where N is the set of natural numbers is defined ...

    Text Solution

    |

  13. If the magnitude of the coefficient of x^(7) in the expansion of (ax^(...

    Text Solution

    |

  14. The mapping f:NrarrN given by f(n)=1+n^(2), n in N where N is the set ...

    Text Solution

    |

  15. A and B are two points on the Argand plane such that the segment AB is...

    Text Solution

    |

  16. A function f : A rarrB, where A={x:-1lexle1} and B={y//1leyle2} is def...

    Text Solution

    |

  17. The function f(x) which satisfies f(x)=f(-x)=(f'(x))/(x) is given by

    Text Solution

    |

  18. A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", f...

    Text Solution

    |

  19. Select the correct statement from (A), (B), (C ), (D). The function f(...

    Text Solution

    |

  20. The equation e^(x)+x-1=0 has, apart from x = 0

    Text Solution

    |