How do you determine if $(sin(x)cos(x)) /( 2tan^2(x))$ is an even or odd function?

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Answer 1 · 2018-03-24T14:07:28

See explanation.

To see if a function is odd or even you have to calculate $f(-x)$ . Here you get:

$f(-x)=(sin(-x)*cos(-x))/(2tan^2(-x))=(-sinx*cosx)/(2tan^2x)=-f(x)$

The function satisfies a condition

$f(-x)=f(x)$

therfore it is an even function