Simplifying after applying quotient rule

en bloc
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Homework Statement



http://images.calcchat.com/solutionart/etf5e/03/c/se03c01047.png

Homework Equations


The Attempt at a Solution



What am i missing, because i get: 6/4 [(-1 + tanx*secx- (tanx)^2]
 
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Use that sin^2x+cos^x=1 in the third row .

ehild
 
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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