Trig Identity - Never Seen This Before

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    Identity Trig
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Homework Statement


http://carlodm.com/images/m.png


Homework Equations




sin2 et + cos2 et = 1

The identity above is foreign to me. Can anyone explain/have external links that explains this identity? I haven't seen anything like it and Google isn't showing anything useful.

Thanks
 
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Nevermind. I realized it's just sin^2 (x) + cos^2 (x) = 1.

It looked weird. Same angles threw me off
 
That happens to all of us.

Thanks
Matt
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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