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    krdiggs's Avatar
    krdiggs Posts: 2, Reputation: 1
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    #1

    Jul 27, 2010, 07:54 AM
    if sin x = 5 cos x, what is cot x?
    This is for a trig class that I am completing. Can someone help me solve the eq. Thanks.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 27, 2010, 09:26 AM

    What is the definition of cot x?

    Remember that:



    But if you want to solve the equation, why are you looking for cot x? Find tan x.









    So, x = 78.7, 258.7 degrees for 0 < x < 360 degrees
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Jul 28, 2010, 05:58 AM

    It's easier than that - the problem does not ask to solve for x. If sin(x) = 5 cos(x), then cos(x)/sin(x) = 1/5. Since cos(x)/sin(x) is defined to be cot(x), you have cot(x) = 1/5.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Jul 28, 2010, 11:11 AM

    I know, that's why I said the words 'But if' :)
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