Home
Class 12
MATHS
If tan theta + tan ( theta + (pi)/(3))+...

If ` tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3` , then which of the following is equal to 1 ?

A

`tan 2 theta `

B

`tan 3 theta `

C

`tan ^(2) theta `

D

`tan ^(5) theta `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC AND INVERSE TRIGONOMETRIC EQUATIONS

    SIA PUBLICATION|Exercise Problems|27 Videos

Similar Questions

Explore conceptually related problems

The period of tan theta+ tan (theta+(pi)/(3)) +tan (theta+(2pi)/(3)) is

If tan theta + tan 2theta = tan 3theta , then theta =

If (tan theta - 1)(tan^(2)theta - 3) = 0 then theta =

If tan theta + tan 2theta + tan 3theta = 0 then theta =

If sqrt3 tan theta=1 then theta=

x tan (theta - (pi)/(6)) = y tan (theta + (2pi)/(3)) implies (x + y)/(x -y) =

x tan ( theta - (pi)/(6)) = y tan (theta + ( 2pi)/(3)) implies (x + y)/( x -y) =

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

If 3 tan (theta - 15^(@))=tan (theta + 15^(@)), 0 lt theta lt pi then theta =

( sec theta + tan theta -1)/( tan theta - sec theta +1)

SIA PUBLICATION-TRIGONOMETRIC RATIOS -PROBLEMS
  1. sqrt3 cosec 20^(@) -sec 20^(@) is equal to

    Text Solution

    |

  2. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

    Text Solution

    |

  3. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

    Text Solution

    |

  4. If alpha + beta + gamma = 2 theta , " then " cos theta + cos ( theta...

    Text Solution

    |

  5. If 'theta' lies in the first quadrant and 5 tan theta=4, then (5 sin t...

    Text Solution

    |

  6. If cos (A -B) =5/3,tan A tan B =2, then which one of the following is ...

    Text Solution

    |

  7. The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

    Text Solution

    |

  8. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  9. sin 120^(@) cos 150^(@)- cos 240^(@) sin 330^(@) =

    Text Solution

    |

  10. "cosec" 15^(@) + sec 15^(@) =

    Text Solution

    |

  11. If 5 cos x+ 12 cosy=13 , then the maximum value of 5sin x+ 12 sin y i...

    Text Solution

    |

  12. If x = tan 15^(@), y = cosec 75^(@)and z =4 sin 18^(@) then,

    Text Solution

    |

  13. If cos theta - 4 sin theta -1 , then sin theta + 4 cos theta i is equ...

    Text Solution

    |

  14. If (tan 3A)/(tan A) =a then (sin 3A)/(sin A) is equal to

    Text Solution

    |

  15. A+C=2B implies ( cos C - cos A )/( sin A - sin C )=

    Text Solution

    |

  16. If A +B =C then cos ^(2) A+cos ^(2)B + cos^(2)C -2 cos A cos b cos C i...

    Text Solution

    |

  17. tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

    Text Solution

    |

  18. In Delta ABC, cos""((B+2C+3A)/(2))+ cos""((A-B)/(2))=

    Text Solution

    |

  19. The value of the series cos 12 ^(@) + cos 84^(@) + cos 132^(@)+cos 1...

    Text Solution

    |

  20. For x in R , 3 cos (4x-5) +4 lies in the interval

    Text Solution

    |