# Is the trig function: even, odd, neither 2sin(x)cos(x)tan^2(x)?

Oct 20, 2015

Is the trig function f(x) = 2sin (x).cos (x).tan^2 (x) odd, even or neither?

Ans: Odd function

#### Explanation:

cos (x) is even function because cos (x) = cos (-x)
tan^2 (x) is even function because tan^2 (x ) = tan^2 (-x).
sin (x) is an odd function because sin (-x) = - sin (x).
Together, f(x) is an odd function.