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Math Help - Express in terms of cosine.

  1. #1
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    Express in terms of cosine.

    I need some help with this one...

    (1 - \tan^2\Theta)(\sec^2\Theta)

    Thanks in advance.
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  2. #2
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    Hello,
    Quote Originally Posted by Intrusion View Post
    I need some help with this one...

    (1 - \tan^2\Theta)(\sec^2\Theta)

    Thanks in advance.
    Note that 1+\tan^2 \theta=\sec^2 \theta

    So 1-\tan^2 \theta=2-\sec^2 \theta

    Hence (1-\tan^2 \theta)(\sec^2 \theta)=2 \sec^2 \theta-\sec^4 \theta=\frac{2}{\cos^2 \theta}-\frac{1}{\cos^4 \theta}
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    Thank you, you're amazing
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