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    cjudas's Avatar
    cjudas Posts: 1, Reputation: 1
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    #1

    Apr 28, 2012, 01:26 PM
    verify a proof
    I seem to be stuck on this: need to verify that (csc(x)+cot(x))/(tan(x)+sin(x))=cot(x)csc(x).

    I can get the left hand side to (cos^2(x)+2cos(x)+1)/sin^2(x) and the right hand side to cos(x)/sin^2(x) before it stops making sense.

    Can anyone help please?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Apr 30, 2012, 06:02 AM
    Quote Originally Posted by cjudas View Post
    I seem to be stuck on this: need to verify that (csc(x)+cot(x))/(tan(x)+sin(x))=cot(x)csc(x).
    Replace the various trig functions with their sine and cosine equivalents. Then multiply the left side by cos(x)sin(x)/cos(x)sin(x) to clear out the awkward denominators. It works right out.
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