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

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

take the reciprocal of 3/ cos^2 theta?

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

Yes, so we now have:

$\sqrt{\frac{1}{\cos^2(\theta)}+1}\cdot\frac{\cos^2 (\theta)}{3}=\frac{\cos^2(\theta)\sqrt{\frac{1}{ \cos^2(\theta)}+1}}{3}$

now what?

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

You could take the square of the cosine function under the radical and distribute...

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

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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