The Trigonometery functions in other presentation

DaniV
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Can I present the trigonometry functions (such as SinX, CosX, TanX, CotX) by using only- Log, Lan, multiplication, division, addition, subtraction, exponantion, nth root operations?
 
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Using complex functions, you can represent sin(x)=\frac{e^{ix}-e^{-ix}}{2i}\ and\ cos(x)=\frac{e^{ix}+e^{-ix}}{2}.
 

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