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

1 Answer
Mar 24, 2018

See explanation.

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