Home
Class 12
MATHS
The complete solution of 3tan^(2)x=1 ...

The complete solution of `3tan^(2)x=1` is given by :

A

`x=npi+-(pi)/(3)`

B

`x=npi+(pi)/(3)` only

C

`x=npi+-(pi)/(6)`

D

`x=npi+(pi)/(6)` only

Text Solution

Verified by Experts

The correct Answer is:
C

`3tan^(2)x=1`
`tanx=+-(1)/(sqrt(3))`
`tanx=tan(+-(pi)/(6))`
`x=npi+-(pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NDA PREVIOUS YEARS|Exercise MCQs|204 Videos
  • VECTORS

    NDA PREVIOUS YEARS|Exercise MATH|199 Videos

Similar Questions

Explore conceptually related problems

The complete solution of sec^(2)3x<2 is

The general solution of tan3x=1 is

The general solution of tan3x=1 is

The complete solution of the equation 7cos^(2)x+sin x cos x-3=0 is given by

complete solution set of |(x^(2))/(x-1)|<=1 is

The general solution of the equation tan^(2)x=1 is

complete solution set of tan^(-1) (sin^(-1) x) gt 1 is

The general solution of "tan" 3x =1 , is

The general solution of the equation tan ^(2) x=1 is

NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
  1. Consider the following : 1. tan((pi)/(6)) 2. tan((3pi)/...

    Text Solution

    |

  2. If cosx=(1)/(3), then what is sin x. cot x. cosec x. tanx equal to ...

    Text Solution

    |

  3. The complete solution of 3tan^(2)x=1 is given by :

    Text Solution

    |

  4. Find the Value of cos 36^@ or sin 54^@

    Text Solution

    |

  5. Conisder the following statements : 1. Value of sin theta osc...

    Text Solution

    |

  6. Consider the following statements I. n (sin^2 (67 1/2^@) -sin^2 (22 1/...

    Text Solution

    |

  7. Consider the following statements : 1. 3theta is an acute angle...

    Text Solution

    |

  8. Consider the following statements I. sin | x | + cos | x | is always ...

    Text Solution

    |

  9. What is (1+sinA)/(1-sinA)-(1-sinA)/(1+sinA)equal to ?

    Text Solution

    |

  10. What is (cot224^(@)-cot134^(@))/(cot226^(@)+cot316^(@)) equal to ?

    Text Solution

    |

  11. cos2 0^(@)+cos10 0^(@)+cos14 0^(@)=

    Text Solution

    |

  12. What is sin^(2)(3pi)+cos^(2)(4pi)+tan^(2)(5pi) equal to ?

    Text Solution

    |

  13. What is sqrt(1+sin2theta) equal to ?

    Text Solution

    |

  14. If cot A = 2 and cot B = 2 , then what is the value of A +B ?

    Text Solution

    |

  15. What is sin^(2)66(1^(@))/(2)-sin^(2)23(1^(@))/(2) equal to ?

    Text Solution

    |

  16. What is (cos7x-cos3x)/(sin7x-2sin5x+sin3x)equal to ?

    Text Solution

    |

  17. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then show that (tanx)/(tany)=(...

    Text Solution

    |

  18. If sin A sin (60^(@)-A)sin(60^(@)+A)=ksin3A, then what is k equal to ?

    Text Solution

    |

  19. The line y=sqrt(3) meets the graph y=tanx , where x in(0, (pi)...

    Text Solution

    |

  20. Which one of the following is one of the solutions of the equation of ...

    Text Solution

    |