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Thread: Identity transformation problem

  1. #1
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    Identity transformation problem

    Hi,

    I'm having trouble with the pictured problem.

    Identity transformation problem-how.jpg

    I understand that 1=sec2-tan2 and 1=cos2/cos2, but having issues with working through 1=(1-(?))/cos2.

    Any help would be greatly appreciated.

    Thanks!

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  2. #2
    MHF Contributor
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    Re: Identity transformation problem

    $\sec^2(\theta)-\tan^2(\theta) = \dfrac{1 - \sin^2(\theta)}{\cos^2(\theta)}=\dfrac{\cos^2( \theta)}{\cos^2( \theta)}=1$
    Thanks from mathguy5000
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