I’m timed!! Please help me!!
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) =

Im timed Please help me Which statement is true А The function fx tanx is an odd function because fx ВThe function f1 tant is an even function because its graph class=

Respuesta :

Answer:

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 know that if function is even, then f(-x) = f(x)
  • We know that if the function is odd, then f(-x) = -f(x)

We also know that

  • tan x = sin x / cos x

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.  

Answer:a

Step-by-step explanation:

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