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Thread: Trigonometric equations (2)

  1. May 14th 2006, 04:43 PM #1
    LilDragonfly
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    Trigonometric equations (2)

    Find the general solution of:

    5cot(3x + 4) = 1
    Last edited by LilDragonfly; May 14th 2006 at 04:47 PM.
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  2. May 14th 2006, 06:55 PM #2
    ThePerfectHacker
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    Quote Originally Posted by LilDragonfly
    Find the general solution of:

    5cot(3x + 4) = 1
    Thus,
    \cot (3x+4)=\frac{1}{5}
    Let,
    y=3x+4
    Then,
    \cot y=\frac{1}{5}
    which you find that,
    y=\cot^{-1}(1/5)+\pi k
    Thus,
    3x+4=\cot^{-1}(1/5)+\pi k
    Thus,
    x=\frac{1}{3}\cot^{-1}(1/5)+\frac{\pi k}{3}-4
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