How do you determine if $y = sin x$ $y=sin x$ is an even or odd function?

Question

4068 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-12T12:27:04

see below

definitions

$f (- x) = f (x) \Rightarrow f (x) is even$ $f(-x)=f(x)=>f(x)" is even"$

$f (- x) = - f (x) \Rightarrow f (x) is odd$ $f(-x)=-f(x)=>f(x)" is odd"$

$f (x) = sin x$ $f(x)=sinx$

$f (- x) = sin (- x) = - sin x$ $f(-x)=sin(-x)=-sinx$

$:.sinx" is odd"$

How do you determine if y=sin xy=sinxy=sin x is an even or odd function?