I’m timed Which statement is true?
А. The function f(x) tan(x) is an odd function because $(-) = -f(x).
В. The function f(1) = tan(t) is an even function because its graph is symmetric about the origin.
C. The function f(t) tan(r) is an odd function because its graph is symmetric about the y-axis.
D. The function f(t) tan(x) is an even function because f(-1) =

We conclude that the function f(x) tan(x) is an odd function because f(-x) = -f(x).

Hence, option (A) is true.  

Step-by-step explanation:

We also know that

so

f(-x) = sin (-x) / cos (-x)

       = -sin (x) / cos (x)

       = -tan (x)

       = -f(x)

Thus, tan (x) is an odd function.

Therefore, we conclude that the function f(x) tan(x) is an odd function because f(-x) = -f(x).

Hence, option (A) is true.  

more detail

step-by-step explanation: