Home
Class 12
MATHS
If tan ((p pi)/4)=cot ((qpi)/4), then pr...

If `tan ((p pi)/4)=cot ((qpi)/4)`, then prove that `p+q=2(2n+1), n in Z`.

A

`p+q=0`

B

`p+q=2n+1`

C

`p+q=2n`

D

`p+q=2(2n+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If tan(cottheta)= cot(tantheta) , then prove that: pi(2n+1)sin2theta=4

Prove that P(n,n)=2.P(n,n-2)

If tan(cot x)=cot(tan x), prove that :sin2x=(4)/((2n+1)pi)

If the equation tan (P cot x)=cot (P tan x) has a solution in x in (0, pi)-{pi/2} , then prove that P le pi/4 .

lim_ (n rarr oo) (1) / (n) [tan ((pi) / (4n)) + tan ((2 pi) / (4n)) + ... tan ((n pi) / (4n) )]

If p=tan(-(11pi)/(6)),q=tan((21pi)/(4))and r = cot ((283pi)/(6)) , then which of the following is / are correct ? 1. The value of pxxr is 2. 2. p , q and r are in G . P . Select the correct anwer using the code given below :

If p= tan(-(11pi)/(6)).q=tan((21pi)/(4)) and r=cot ((383pi)/(6)) , then which of the following is/are correct? 1.The value of pxxr is 2 2.p.q and r are in G.P Select the correct answer using the code given below:

If log_5p=a and log_2q=a , then prove that (p^4q^4)/(100)=100^(2a-1)

If tan A = 1, tan B = 2, tan C = 3, then A+B+C = (i) (n pi)/(2); n in Z (ii) (n pi); n in Z ( iii) (n pi)/(4); n in Z (iv) (2n pi)/(3); n in Z

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. If sin 2x+sin4x=2sin3x then x=

    Text Solution

    |

  2. The equation alpha sin x +b cos x =c where |c| gt sqrt(a^2+ b^2) has

    Text Solution

    |

  3. If tan ((p pi)/4)=cot ((qpi)/4), then prove that p+q=2(2n+1), n in Z.

    Text Solution

    |

  4. 2sin^(2)x + sin^(2)2x =2

    Text Solution

    |

  5. If tan(cotx)=cot(tanx), then sin2x is equal to

    Text Solution

    |

  6. Find the general solution of the equation (sqrt3-1) sin theta +(sqrt3 ...

    Text Solution

    |

  7. The solution of the equation sectheta-cosectheta=(4)/(3) is

    Text Solution

    |

  8. The general value of theta satisfying the equation tan^2theta+sec2thet...

    Text Solution

    |

  9. The general value of theta in the equation 2sqrt(3)costheta=tantheta i...

    Text Solution

    |

  10. The number of values of x in the interval [0,5pi] satisfying the equat...

    Text Solution

    |

  11. Principal solutions of the equation sin 2x + cos 2x = 0, where pi < x ...

    Text Solution

    |

  12. If 2sin^(2)theta=3costheta, where 0lethetale2pi, then find the value ...

    Text Solution

    |

  13. If 5cos2theta+2"cos"^(2)(theta)/(2)+1=0, when (0ltthetaltpi), then t...

    Text Solution

    |

  14. The smallest positive angle which satisfies the equation 2sin^(2)theta...

    Text Solution

    |

  15. The equation 3sin^(2)x+10cosx-6=0 is satisfied, if

    Text Solution

    |

  16. The solution of the equation cos^(2)x-2cosx=4sinx-sin2x,0lexlepi, is

    Text Solution

    |

  17. cos2theta = (sqrt(2)+1)(costheta -1/sqrt(2))

    Text Solution

    |

  18. If 32 tan^8 theta =2 cos^2 alpha-3 cos alpha and 3cos2 theta =1, then ...

    Text Solution

    |

  19. In (0, 2pi), the number of solutions of cos2theta=sintheta are

    Text Solution

    |

  20. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |