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Math Help - verify???

  1. #1
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    Question verify???

    (secx+cscx)/(1+tanx)=cscx

    I put the entire thing in terms of sine and cosine, but I keep getting stuck. Please and thank you!
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  2. #2
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    Westwood, Los Angeles, CA
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    On the left, replacing everything with sine and cosine, gives:

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

    Getting common denominators in both the numerator and the denominator:

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

    Remember that dividing by a fraction is the same as multiplying by the reciprocal:

    \frac {sin x + cos x}{sin x cos x} \times \frac {cos x}{sin x + cos x}.

    The sin x + cos x should cancel, as does a single cos x and voila!
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