Is sine an even or odd function?

Sine is an odd function, sin(-θ)= -sin θ

To determine if a function is even or odd, we need to examine its symmetry properties.

A function is considered even if it is symmetric with respect to the y-axis, meaning that if we replace x with -x, the function remains the same.

On the other hand, a function is considered odd if it is symmetric with respect to the origin (0,0), meaning that if we replace x with -x, the function changes sign.

Now, let's consider the sine function.

The sine function is given by f(x) = sin(x). If we replace x with -x, we get f(-x) = sin(-x).

Using the symmetry properties of the unit circle, we know that sin(-x) = -sin(x).

This means that the sine function changes sign when we replace x with -x, thus it is an odd function.

Therefore, to answer your question, the sine function is an odd function.