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Math Help - Find a cartesian equation

  1. #1
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    Find a cartesian equation

    So my professor isn't very good at teaching, and the book isn't very helpful with this as either. It only provides the simplest of examples, and I am still confused as to how to find Cartesian equations to these two problems:

    r=4sin(theta) + 4cos(theta)

    and

    r=6tan(theta)sec(theta)


    Please please help!!
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  2. #2
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    Quote Originally Posted by DarthPipsqueak View Post
    So my professor isn't very good at teaching, and the book isn't very helpful with this as either. It only provides the simplest of examples, and I am still confused as to how to find Cartesian equations to these two problems:

    r=4sin(theta) + 4cos(theta)

    and

    r=6tan(theta)sec(theta)


    Please please help!!
    x=rcos
    y=rsin
    x^2+y^2=r^2

    Use these identities
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  3. #3
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    So I was able to figure out the first equation (4sin(theta) + 4cos(theta)) but I am still trying to figure out the second one. I'm working on it, but I think I'm stuck.
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  4. #4
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    Quote Originally Posted by DarthPipsqueak View Post
    So my professor isn't very good at teaching, and the book isn't very helpful with this as either. It only provides the simplest of examples, and I am still confused as to how to find Cartesian equations to these two problems:

    r=4sin(theta) + 4cos(theta)

    and

    r=6tan(theta)sec(theta)


    Please please help!!
    r=6\tan{\theta}\sec{\theta}

    r = \frac{6\sin{\theta}}{\cos^2{\theta}}<br />

    r\cos^2{\theta} = 6\sin{\theta}

    r^2\cos^2{\theta} = 6r\sin{\theta}

    (r\cos{\theta})^2 = 6r\sin{\theta}

    x^2 = 6y
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