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Math Help - trig

  1. #1
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    trig

    look below becaus it did not show up sorry!
    Last edited by justin; April 14th 2007 at 03:34 PM. Reason: did not show up!
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  2. #2
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    I will attach it instead~

    sorry! it did not work
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  3. #3
    Forum Admin topsquark's Avatar
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    It would have been nice for you to post what you were doing at the top of the page...

    But no matter. You are trying to show:
    sin(t) + cos(t)*cot(t) = csc(t)

    Your algebra in line 3 of part B is incorrect. The rest is correct. Let's see what should happen in part B.

    sin(t) + cos(t)/tan(t) = 1/sin(t)

    sin(t) + cos(t)*cos(t)/sin(t) = 1/sin(t)

    sin(t) + cos^2(t)/sin(t) = 1/sin(t)

    Add the fractions on the LHS:
    sin^2(t)/sin(t) + cos^2(t)/sin(t) = 1/sin(t)

    [sin^2(t) + cos^2(t)]/sin(t) = 1/sin(t)

    But sin^2(t) + cos^2(t) = 1, so...

    1/sin(t) = 1/sin(t)

    Since both sides are the same, we have an identity.

    -Dan
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