Home
Class 11
MATHS
If tan p theta = cot q theta and p ne -q...

If `tan p theta = cot q theta` and `p ne -q` show that the solution are in A.P with common difference `(pi)/(p+q)`

Text Solution

Verified by Experts

The correct Answer is:
`(2pi)/(ppmq)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|14 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise -I|23 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise - 6.1 ( VERY SHORT ANSWERS QUESTIONS)|17 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

If tanptheta= cotqtheta and pneq show that the solutions are in A.P with common difference (pi)/(p+q)

If tan px = cot qx , then the solutions are in A.P. with common difference

Statement I : If cos ((pi)/(3) cos 2 pi x)= sqrt(3) then the general solution of the equation is x = n pm (1)/(6), n in I Statement II : If tan P theta = tan Q theta , then the value of theta from an A.P with common difference (pi)/(P - Q) Which of the above statements are correct ?

If sin theta = p/q then find tan theta .

If sec theta + tan theta = p(p ne 0) , then sin theta =

If tan theta = p - (1)/(4p) then sec theta - tan theta =

AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise - 6.1 Short Answer Questions
  1. Solve the following equations sqrt(3) Sin theta - Cos theta = sqrt(...

    Text Solution

    |

  2. Solve the following equations Cot x + "Cosec x" = sqrt(3)

    Text Solution

    |

  3. If theta(1), theta(2) are solutions of the equation a cos 2theta + bsi...

    Text Solution

    |

  4. If alpha, beta are solutions of a cos theta + b sin theta = c where a,...

    Text Solution

    |

  5. If alpha, beta are solutions of a cos theta + b sin theta = c where a,...

    Text Solution

    |

  6. If alpha, beta are solutions of a cos theta + b sin theta = c where a,...

    Text Solution

    |

  7. If alpha, beta are solutions of a cos theta + b sin theta = c where a,...

    Text Solution

    |

  8. Find all values of x in (-pi,pi) satisfying the equation 8^(1+cosx+cos...

    Text Solution

    |

  9. If x+y=(2pi)/(3)andsinx+siny=(3)/(2)" then find"x ,y

    Text Solution

    |

  10. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

    Text Solution

    |

  11. Solve sin x + sin 2x + sin 3 x = cos x + cos 2x + cos 3x

    Text Solution

    |

  12. Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

    Text Solution

    |

  13. Solve the following equations Cos 2 theta + cos 8 theta = Cos 5 the...

    Text Solution

    |

  14. Solve the following equations Cos theta- Cos 7 theta = Sin 4 theta

    Text Solution

    |

  15. Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi.

    Text Solution

    |

  16. Solve the following equations cos 3 x - cos 4x = cos 5x - cos 6x

    Text Solution

    |

  17. If tan p theta = cot q theta and p ne -q show that the solution are in...

    Text Solution

    |

  18. Show that the solutions Cos p theta = Sin q theta from two series each...

    Text Solution

    |

  19. Find the number of solutions of the equation tan x + sec x = 2 cos x, ...

    Text Solution

    |

  20. Solve Sin 3 alpha = 4 Sin alpha Sin (x + alpha) Sin(x-alpha) where a...

    Text Solution

    |