##
Negative Angle Identities

Identities also exist to relate the value of a trigonometric
function at a given
angle to the value of that
function at the opposite of the
given angle. Here are these identities:

Any function *f* for which the equation *f* (- *x*) = - *f* (*x*) holds true is called an
odd function. A function for which the equation *f* (- *x*) = *f* (*x*) holds true
is called an even function.
Sine and
cosine are examples of odd and
even functions, respectively. Odd and even functions, by definition, reflect
themselves across the origin and y-
axis, respectively. That is, a segment whose
endpoints are *f* (*x*) and *f* (- *x*) of an odd function will always contain the
origin, whereas a segment with the same endpoints on an even function will
always be perpendicular to the *y*-axis.