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Math Help - Help Verifying Identity

  1. #1
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    Help Verifying Identity

    Hello everyone. Can someone please help me verify this identity? I am stumped on this one.

    csc(x) + cot (x)
    ______________ = cot (x) csc (x)

    tan(x) + sin (x)

    Thanks.
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  2. #2
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    Re: Help Verifying Identity

    Quote Originally Posted by troe View Post
    Hello everyone. Can someone please help me verify this identity? I am stumped on this one.

    csc(x) + cot (x)
    ______________ = cot (x) csc (x)

    tan(x) + sin (x)
    left side ...

    \frac{\frac{1}{\sin{x}}+\frac{\cos{x}}{\sin{x}}} {\frac{\sin{x}}{\cos{x}} + \frac{\sin{x} \cos{x}}{\cos{x}}}

    \frac{\frac{1+\cos{x}}{\sin{x}}} {\frac{\sin{x}+\sin{x} \cos{x}}{\cos{x}}}

    \frac{\frac{1+\cos{x}}{\sin{x}}} {\frac{\sin{x}(1+ \cos{x})}{\cos{x}}}

    you take it from here ...
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  3. #3
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    Re: Help Verifying Identity

    The rest of the problem...
    {\frac{1+cos{x}}{\sin{x}} *} {\frac{cos{x}}{\sin{x}(1+cos{x})} =}{\frac{cos{x}}{\sin{x}} *} {\frac{1}{\sin{x}}} = cotx cscx
    Quick question, how did you arrive at (1+ cosx) in the denominator in the second step?

    Thanks
    Last edited by troe; May 6th 2012 at 04:49 PM.
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  4. #4
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    Re: Help Verifying Identity

    Quote Originally Posted by troe View Post
    The rest of the problem...


    Quick question, how did you arrive at (1+ cosx) in the denominator in the second step?

    Thanks
    factored \sin{x} + \sin{x}\cos{x}
    Thanks from troe
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  5. #5
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    Re: Help Verifying Identity

    Thanks that really help!!!
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