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Math Help - Help! Solving Trig equation!

  1. #1
    Junior Member
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    Help! Solving Trig equation!

    I've been frustrated with this problem for hours now, no idea how to do it. Any help would be appreciated, thank you!

    3sec(x)tan(x) - 4csc(x)cot(x) = 0
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  2. #2
    MHF Contributor
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    Quote Originally Posted by Togechu64 View Post
    I've been frustrated with this problem for hours now, no idea how to do it. Any help would be appreciated, thank you!

    3sec(x)tan(x) - 4csc(x)cot(x) = 0
    HI

    3\sec x \tan x-4 \csc x \cot x=0

    3(\frac{1}{\cos x})(\frac{\sin x}{\cos x})-(\frac{4}{\sin x})(\frac{\cos x}{\sin x})=0

    \frac{2\sin x}{\cos^2 x}-\frac{4\cos x}{\sin^2 x}=0

    3\sin^3 x-4\cos^3 x=0

    (\frac{\sin x}{\cos x})^3=\frac{4}{3}

    Can you take it from here ?
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  3. #3
    Junior Member
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    I think so, thanks alot!!
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