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Math Help - Simplify the following in terms of sin or cos

  1. #1
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    Simplify the following in terms of sin or cos

    Q) tanx + cotx
    Attempt:
     \frac {sin}{cos} + \frac {sin}{cos}

    Q)  sinx + cos^2 * cscx
    Attempt:
     sinx +\frac{cos^2}{sinx} = cos^2

    In addition fractions is it allowed to cross things out ?

    These are my attempt, if they are wrong or incomplete please correct them for me.
    Thank you very much
    Last edited by mj.alawami; February 10th 2009 at 08:15 AM.
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  2. #2
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    \cot(x)=\frac{\cos(x)}{\sin(x)}
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  3. #3
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    Quote Originally Posted by mj.alawami View Post
    Q) secx + cotx
    Attempt:
     \frac {sin}{cos} + \frac {sin}{cos}
    Neither sec x nor cot x is equal to sin x/ cos x so that is not right.
    sec x= 1/cos x and cot x= cos x/sin x. Add those fractions.

    Q)  sinx + cos^2 * cscx
    Attempt:
     sinx +\frac{cos^2}{sinx} = cos^2

    In addition fractions is it allowed to cross things out ?
    NO! 2+ 1/2 is NOT equal to 1!!

    Write that first sinx as \frac{sin^2 x}{sin x} and add the fractions.

    These are my attempt, if they are wrong or incomplete please correct them for me.
    Thank you very much
    Last edited by HallsofIvy; February 10th 2009 at 08:23 AM.
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  4. #4
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    Quote Originally Posted by Plato View Post
    \cot(x)=\frac{\cos(x)}{\sin(x)}
    Attempt:
     sinx + cos^2 *\frac{1}{sinx}
    sinx +\frac{cos^2}{sinx} = cos^2
    the sinx and sinx will cancell each other which is = cos^2
    Is this correct ?
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  5. #5
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    Quote Originally Posted by HallsofIvy View Post
    Neither sec x nor cot x is equal to sin x/ cos x so that is not right.
    sec x= 1/cos x and cot x= cos x/sin x. Add those fractions.


    NO! 2+ 1/2 is NOT equal to 1!!

    Write that first sinx as [tex]\frac{sin^2 x}{sin x} and add the fractions.
    My first question was wrong so i just re-edited and corrected it
    Sorry,please check it
    please fix your second answer because i can't understand it
    Sorry
    Thank you
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  6. #6
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    Quote Originally Posted by mj.alawami View Post
    Attempt:
     sinx + cos^2 *\frac{1}{sinx}
    sinx +\frac{cos^2}{sinx} = cos^2
    the sinx and sinx will cancell each other which is = cos^2
    Is this correct ?
    I don't see how this is different from what you had before. Again, the "b"s in b+ a/b do NOT cancel. 2+ 1/2 is NOT equal to 1!
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  7. #7
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    Quote Originally Posted by HallsofIvy View Post
    I don't see how this is different from what you had before. Again, the "b"s in b+ a/b do NOT cancel. 2+ 1/2 is NOT equal to 1!
    my first question is
    please answer it and look at my attempt above

    please answer my second question becasue i can't reach to a final answer
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