# Substitute x= 3 sec(theta) and simplify

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• Dec 7th 2012, 08:26 PM
mathisfun26
Re: Substitute x= 3 sec(theta) and simplify
take the reciprocal of 3/ cos^2 theta?
• Dec 7th 2012, 08:43 PM
MarkFL
Re: Substitute x= 3 sec(theta) and simplify
Yes, so we now have:

$\sqrt{\frac{1}{\cos^2(\theta)}+1}\cdot\frac{\cos^2 (\theta)}{3}=\frac{\cos^2(\theta)\sqrt{\frac{1}{ \cos^2(\theta)}+1}}{3}$
• Dec 7th 2012, 08:45 PM
mathisfun26
Re: Substitute x= 3 sec(theta) and simplify
now what?
• Dec 7th 2012, 08:56 PM
MarkFL
Re: Substitute x= 3 sec(theta) and simplify
You could take the square of the cosine function under the radical and distribute...
• Dec 8th 2012, 01:33 PM
skeeter
Re: Substitute x= 3 sec(theta) and simplify
Quote:

Originally Posted by mathisfun26
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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