How do you determine if $f (x) = tan x$ $f(x)= tan x$ is an even or odd function?

Question

How do you determine if $f (x) = tan x$ $f(x)= tan x$ is an even or odd function?

1 Answer

Impact of this question

22826 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-06T19:50:55

$tan x$ $tanx$ is odd.

Explanation:

If function is even, then $f (- x) = f (x)$ $f(-x) = f(x)$

If odd, $f (- x) = - f (x)$ $f(-x) = -f(x)$ .

Recall that $tan x = \frac{sin x}{cos x}$ $tanx = (sinx)/(cosx)$

$f (- x) = \frac{sin (- x)}{cos (- x)} = \frac{- sin (x)}{cos (x)} = - tan (x) = - f (x)$ $f(-x) = (sin(-x))/(cos(-x)) = (-sin(x))/(cos(x)) = -tan(x) = -f(x)$

$tan x$ $tanx$ is odd.

Science

Math

Humanities

... and beyond

How do you determine if $f (x) = tan x$ $f(x)= tan x$ is an even or odd function?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you determine if f(x)= tan xf(x)=tanxf(x)= tan x is an even or odd function?

1 Answer

Explanation:

Related questions

Impact of this question

How do you determine if $f (x) = tan x$ $f(x)= tan x$ is an even or odd function?