Results 1 to 2 of 2

Thread: Trig angles

  1. Jan 29th 2009, 08:03 AM #1
    Haris
    Haris is offline
    Member
    Joined
    Nov 2008
    Posts
    103

    Trig angles

    How many solutions are there to the equation tan(x) = 2 in the interval [, ].

    How would you solve this? Cheers.
    Follow Math Help Forum on Facebook and Google+
  2. Jan 29th 2009, 08:24 AM #2
    metlx
    metlx is offline
    Member
    Joined
    Dec 2008
    Posts
    167
    [, ] = [-540^0 , 540^0]

    <br /> tan x = 2 \Rightarrow x = 63.43^0 \pm k\Pi<br />

    <br /> x_{1} = 63.43^0 - 3\Pi = -476.57^0<br />
    <br /> x_{2} = 63.43^0 - 2\Pi = -296.57^0<br />
    <br /> x_{3} = 63.43^0 - \Pi = -116.57^0<br />
    <br /> x_{4} = 63.43^0<br />
    <br /> x_{5} = 63.43^0 + \Pi = 243.43^0<br />
    <br /> x_{6} = 63.43^0 + 2\Pi = 423.43^0<br />
    Last edited by metlx; Jan 29th 2009 at 08:32 AM. Reason: put a 'k' in front of Pi (second line)
    Follow Math Help Forum on Facebook and Google+
« Finding exact values in quadrants,. | Two Triangles Trig Problem »

Similar Math Help Forum Discussions

  1. Trig Angles
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Apr 9th 2009, 12:59 PM
  2. Trig Angles tan2x
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Apr 9th 2009, 12:03 PM
  3. Hexagon Angles/Trig.
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Feb 20th 2009, 05:19 PM
  4. Trig half angles
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Oct 28th 2008, 05:55 PM
  5. Trig - Finding Angles
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Jun 25th 2008, 04:14 PM

Search Tags


/mathhelpforum @mathhelpforum