Home
Class 12
MATHS
If tan ""(alpha pi)/(4) =cot ""(beta pi)...

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

A

`alpha + beta =0` when `n in ZZ`

B

`alpha + beta =2n`

C

`alpha+ beta =2n +1`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 3|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

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

If the three points (a,b), (a+kcosalpha,b+ksinalpha)and(a+kcosbeta,b+ksinbeta) are the vertices of an equilateral triangle , then which of the following is true and why ? (i) |alpha-beta|=(pi)/(4) , (ii) |alpha-beta|=(pi)/(2) (iii) |alpha-beta|=(pi)/(6) , (iv) |alpha-beta|=(pi)/(3)

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

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

tan(pi/4 + theta) tan (pi/4 -theta)=

IF cos (alpha +beta )=(5)/(13) and cos (alpha - beta )=(4)/(5), then find the value of tan 2 beta .

If alpha + beta =(pi)/(2)and beta + gamma =alpha, then the value of tan alpha is -

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

If tan alpha = 7/5, tan beta=5/7 " then find the values of " tan (alpha + beta) " and " cot (alpha - beta)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 5
  1. If in a DeltaABC, the altituds drawn from the vertices A,B, C on oppos...

    Text Solution

    |

  2. If cos A =3/4 then, the value of sin ""A/2sin ""(5A)/(2) is-

    Text Solution

    |

  3. If tan ""(alpha pi)/(4) =cot ""(beta pi)/(4), then which one of the fo...

    Text Solution

    |

  4. In a triangle ABC, if the sides are a=3, b=5, c=4, thenb the value of...

    Text Solution

    |

  5. The value of tan (7(1)/(2)) ^(@) is-

    Text Solution

    |

  6. If cos (x-y) =-1, then the values of (cos x+ cos y) and (sin x + sin y...

    Text Solution

    |

  7. If in a triangle ABC, b sin B = c sin C, then the triangle is-

    Text Solution

    |

  8. If (tan 3A)/(tan A)=x, then the value of (sin 3A)/(sin A) is-

    Text Solution

    |

  9. The locus of the centre of a circle which touches the circles |z-z(1)|...

    Text Solution

    |

  10. If n is a natural number, then (4^(n) -3n -1) is always divisible by-

    Text Solution

    |

  11. If (1+i) (1+2i) (1+3i) ,…(1+ni) =a+ib then the value of 2xx5 xx10xx…xx...

    Text Solution

    |

  12. How many ways are there to arrange the letters in the word GARDEN with...

    Text Solution

    |

  13. There are n points in a plane of which m points are collinear. How man...

    Text Solution

    |

  14. The value of (""^(n) C(1)+2. ""^(n) C(2)+3. ""^(n)C(3)+…+ n""^(n)C(n))...

    Text Solution

    |

  15. If ab = 2a +3b, a gt0, b gt 0, then the minimum value of ab is-

    Text Solution

    |

  16. If a(1), a(2) , a(3),…,a (n+1) are in A. P. then the value of (1)/(a ...

    Text Solution

    |

  17. IF first term of an infinite G.P. is x and its sum is 5, then-

    Text Solution

    |

  18. If the sum of first n terms of an A.P. series is n^(2) +2n, then the ...

    Text Solution

    |

  19. Everybody in a room shake hands with everybody else. If the total numb...

    Text Solution

    |

  20. If a,b,c,d ar all real numbers and (a^(2) +b^(2)) d^(2)-2(a+c) bd + (b...

    Text Solution

    |