How do you prove that tangent is an odd function?
February 20th, 2023
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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