(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

So what I've been doing to solve these questions is to set the two equations of the curves equal to each other and solving for the variable, which gives me the points where they intersect. But I'm having problems solving for the variable in some of these.

For example (sec^2)/2 is the top of the curve and 2cos^(2)x is the bottom curve. I want to set them both equal to each other to find where they meet, but I have no idea how to solve for that variable.

Wow, the latex was working, and when I edited, it stopped working.

3. The attempt at a solution

I tried setting them equal to each other and multiplying both sides by 2 to get rid of the fraction. But then I still have a cosine and a secant. I tried turning the cosine into a secant, but that just gave me a fraction again and another problem to deal with.

Thanks.

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# Area between the curves

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