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Math Help - trig equation

  1. #1
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    trig equation

    solve the trig equation sec(x)-2=0 for exact solutions in the interval
    0<= x <= 2pi
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by c_323_h
    solve the trig equation sec(x)-2=0 for exact solutions in the interval
    0<= x <= 2pi
    sec(x)=2

    Now, sec=1/cos

    Thus cos(x)=1/2.

    So for what values of x is cos(x)=1/2?

    -Dan
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  3. #3
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    Quote Originally Posted by c_323_h
    solve the trig equation sec(x)-2=0 for exact solutions in the interval
    0<= x <= 2pi
    That means,
    \sec x=2
    because secant is reciprocal function of cosine we have,
    \cos x=\frac{1}{2} for 0<x<2\pi
    Thus,
    x=\frac{\pi}{6},\frac{11\pi}{6}
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    i've got pi/3 and 5pi/3
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by c_323_h
    i've got pi/3 and 5pi/3
    Yup. ThePerfectHacker isn't having a good day with trig. I hope he's okay...

    -Dan
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  6. #6
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    Quote Originally Posted by topsquark
    Yup. ThePerfectHacker isn't having a good day with trig. I hope he's okay...

    -Dan
    No I am so tired now. Not really realizing what I am doing.
    If I make another mistake I am leaving this site for today.
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  7. #7
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ThePerfectHacker
    No I am so tired now. Not really realizing what I am doing.
    If I make another mistake I am leaving this site for today.
    It's okay. We still love you. Get some sleep for me!

    -Dan
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