Results 1 to 5 of 5

Math Help - Trigonometry

  1. #1
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    182

    Trigonometry

    Find the value of x in fourth quadrant if Tan x=-\sqrt{3}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29
    In the 4th quadrant consider 2\pi-\theta

    Where \theta = \frac{\pi}{3} is an angle on the triangle with \tan(\theta) = \frac{O}{A} = \frac{\sqrt{3}}{1}

    2\pi-\frac{\pi}{3}= \dots
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    182
    The value of x is -60 when I used the calculator.After that I am lost cause tan is negative in fourth quadrant.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by roshanhero View Post
    Find the value of x in fourth quadrant if Tan x=-\sqrt{3}
    The reference angle is 60 degree . So in the 4th quadrant :

    360 -60 = 300 degree

    in fact , tan 300 = tan (-60) because

    tan(-60)=-(tan 60) = -(-tan 300)=tan 300
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29
    Quote Originally Posted by roshanhero View Post
    The value of x is -60 when I used the calculator.After that I am lost cause tan is negative in fourth quadrant.

    both -60 and 360-60 = 300 are the same angle and in the 4th quadrant.

    -60 is going clockwise and 300 counter clockwise, you end up at the same point.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trigonometry to Memorize, and Trigonometry to Derive
    Posted in the Trigonometry Forum
    Replies: 9
    Last Post: August 21st 2013, 01:03 PM
  2. How To Do Trigonometry For This...?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 10th 2009, 06:56 PM
  3. How To Do This Trigonometry
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 3rd 2009, 02:55 AM
  4. trigonometry
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: December 31st 2008, 09:06 PM
  5. Trigonometry
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: December 18th 2008, 05:40 PM

Search Tags


/mathhelpforum @mathhelpforum