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Math Help - Trigonometric Identy problem problem

  1. #1
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    Trigonometric Identy problem problem

    cos x - 1
    ----------
    sin x

    +

    sin x
    -------------
    cos x + 1


    I have been working on this for a while now and have yet to come up with a way to get the correct answer. I know that the answer is 0 but I have no idea how to do it correctly any help is greatly appriciated
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  2. #2
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    Quote Originally Posted by aeswork View Post
    cos x - 1
    ----------
    sin x

    +

    sin x
    -------------
    cos x + 1


    I have been working on this for a while now and have yet to come up with a way to get the correct answer. I know that the answer is 0 but I have no idea how to do it correctly any help is greatly appriciated

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

    get a common denominator and add the fractions ...

    \frac{(\cos{x}-1)(\cos{x}+1)}{\sin{x}(\cos{x}+1)} + \frac{\sin^2{x}}{\sin{x}(\cos{x}+1)}

    \frac{\cos^2{x} - 1 + \sin^2{x}}{\sin{x}(\cos{x}+1)}

    finish it
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  3. #3
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    thank you so much, its things like that, that I just don't see that make math so amazing and fun to learn.
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  4. #4
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    If this is a proof, what is it equal to? Have you tried to make a common denominator?
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  5. #5
    Member Mathelogician's Avatar
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    Quote Originally Posted by pickslides View Post
    If this is a proof, what is it equal to? Have you tried to make a common denominator?
    It's equal to zero because sin^2(x)+cos^2(x)=1. and that's what aeswork wanted to be proved!
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