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Math Help - Trig angles

  1. #1
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    Trig angles

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

    How would you solve this? Cheers.
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  2. #2
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    [, ] =  [-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; January 29th 2009 at 09:32 AM. Reason: put a 'k' in front of Pi (second line)
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