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QUESTION

How do you prove that tangent is an odd function?

A function is even if:

##f(-x)=f(x)##.

A function is odd if:

##f(-x)=-f(x)##.

In this case: ##y=tan(-x)=sin(-x)/cos(-x)=(-sin(x))/cosx=-sinx/cosx=-tan(x)##,

for the simmetry of sinus and cosinus.

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