Question

What is one example of an odd trigonometric function? Explain.

Answer 1

Answer:

$sin(-x)$

Step-by-step explanation:

Odd functions follow the relation of

$f(-x)=-f(x)$

Lets check for the most trivial value, does

$sin(-0) = -sin(0)$

Well these values both equal 0, so this is correct!

What about another value?

$sin(- \frac{\pi}{2})=-1\\-sin(\frac{\pi}{2})=-1$

In-fact this is strictly defined for all values of sin. Meaning that this is an odd function.