What Are the Solutions to sin^n(x) - cos^n(x) = 0?

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sin^n (x) - cos^n (x) = 0
 
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Is it Pi/4 ?
 
It admits an infinity of solutions,because it's simple to see that among the solutions of the initial equation,there can be found the solutions to:
tan x=1 ,x=pi/4+k*pi,k in Z

Daniel.
 

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