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Math Help - trig problem

  1. #1
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    trig problem

    Hi... I was just wondering if anyone could give me a hand with this problem. It's probably pretty simple but I can't seem to see the progression between the two lines... I'm guessing there's some use of trig identity cos^2t + sin^2t = 1... If anyone could break it down a bit further it would be much appreciated:

    = -2sin^2t - cos^2t .dt

    * * *

    = (-1 - sin^2t).dt
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
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    Quote Originally Posted by Seven7 View Post
    Hi... I was just wondering if anyone could give me a hand with this problem. It's probably pretty simple but I can't seem to see the progression between the two lines... I'm guessing there's some use of trig identity cos^2t + sin^2t = 1... If anyone could break it down a bit further it would be much appreciated:

    = -2sin^2t - cos^2t .dt

    * * *

    = (-1 - sin^2t).dt
    You mean what is the (* * * )?

    You are right, use that trig identity.
    -2sin^2(t) is -sin^2(t) -sin^2(t), so,

    the (* * *) should be:
    = [-sin^2(t) -sin^2(t) -cos^2(t)]dt
    = [-sin^2(t) -(sin^2(t) +cos^2(t))]dt
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