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Math Help - Substitute x= 3 sec(theta) and simplify

  1. #16
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    Re: Substitute x= 3 sec(theta) and simplify

    take the reciprocal of 3/ cos^2 theta?
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  2. #17
    MHF Contributor MarkFL's Avatar
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    Re: Substitute x= 3 sec(theta) and simplify

    Yes, so we now have:

    \sqrt{\frac{1}{\cos^2(\theta)}+1}\cdot\frac{\cos^2  (\theta)}{3}=\frac{\cos^2(\theta)\sqrt{\frac{1}{ \cos^2(\theta)}+1}}{3}
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  3. #18
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    Re: Substitute x= 3 sec(theta) and simplify

    now what?
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  4. #19
    MHF Contributor MarkFL's Avatar
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    Re: Substitute x= 3 sec(theta) and simplify

    You could take the square of the cosine function under the radical and distribute...
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  5. #20
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    Re: Substitute x= 3 sec(theta) and simplify

    Quote Originally Posted by mathisfun26 View Post
    now what? ...
    ... you have a mess.

    whoever came up with this problem should be slapped, or forced to find the decimal representation of \sqrt{2} to one thousand decimal places ... by hand.
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