Home
Class 11
MATHS
If tantheta.tan(120^(@)-theta)tan(120^(@...

If `tantheta.tan(120^(@)-theta)tan(120^(@)+theta)=(1)/(sqrt(3))` then `theta` =

A

`(npi)/(3)-(pi)/(12)`

B

`(npi)/(3)-(pi)/(18)`

C

`(npi)/(3)+(pi)/(18)`

D

`(npi)/(3)+(pi)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise -I|23 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 tan theta tan (120^(@)-theta)tan (120^(@)+theta)=1//sqrt(3) , then theta =

If tan theta + tan(60^(@)+theta)+tan (120^(@)+theta)=3 , then theta =

If 4 cos theta.cos(120^(@)+theta).cos(120^(@)-theta)=1//2 then theta =

If tan theta + tan 2theta + sqrt(3) tan theta tan 2theta = sqrt(3) then theta =

If tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3) , then the general solution is theta

theta=tan^(-1)(2tan^(2)theta)-tan^(-1)(1/3tantheta) if

AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
  1. The set of values of x for which (tan5x-tan4x)/(1+tan5xtan4x)=1 is

    Text Solution

    |

  2. If tantheta.tan(120^(@)-theta)tan(120^(@)+theta)=(1)/(sqrt(3)) then th...

    Text Solution

    |

  3. If tan5x=cot3x then x=(ninz)

    Text Solution

    |

  4. Solution of cot^(2)theta+[sqrt(3)+1/(sqrt(3))]cot theta+1=0 is

    Text Solution

    |

  5. The general solution of 3sin^(2)x-7sinx+2=0 is

    Text Solution

    |

  6. Solve 3tan^(4)alpha-10tan^(2)alpha+3=0

    Text Solution

    |

  7. The general solution of sin^(2)x-2 cos x +(1)/(4)=0 is

    Text Solution

    |

  8. If 5cos2theta+2cos^(2)""(theta)/(2)+1=0 and -piltthetaltpi, then find ...

    Text Solution

    |

  9. {x inR: cos2x+2cos^(2)x=2} =

    Text Solution

    |

  10. If f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x then the number of x epsilon[0,2p...

    Text Solution

    |

  11. If rgt0,-pilethetalepi and r,theta satisfy rsintheta=3, r=4(1+sintheta...

    Text Solution

    |

  12. If tantheta+3cottheta=5sectheta then theta=(ninz)

    Text Solution

    |

  13. If 1+sin^(2)theta=3sinthetacostheta then the solution set in [0,(pi)/(...

    Text Solution

    |

  14. 3sinx+4cosx-6=0 then the general solution of x =

    Text Solution

    |

  15. The equation kcosx-3sinx=k+1 is solvable only if K in

    Text Solution

    |

  16. If (2+sqrt(3))cosx=1-sinx then x =

    Text Solution

    |

  17. If tantheta+sectheta=sqrt(3), then the principal value of (theta+(pi)/...

    Text Solution

    |

  18. The set of solutions of the equation (sqrt(3)-1)sin theta + (sqrt(3) +...

    Text Solution

    |

  19. If 3sinx+4cosx=5 then the value of tan(x//2) is

    Text Solution

    |

  20. If sintheta+sin3theta+sin5theta=0,0lethetale(pi)/(2) then theta =

    Text Solution

    |