# What are circular functions?

##### 1 Answer

The sine and cosine of an angle are both circular functions, and they are the fundamental circular functions. Other circular functions can all be derived from the sine and cosine of an angle.

The circular functions are named so because after a certain period (usually *circle* ". Additionally, constructing a right-angled triangle within a unit *circle* will give the values of the sine and cosine (among others). This triangle (usually) has a hypotenuse of length 1, extending from (0,0) to the circumference of the circle; its other two legs are one of the axes, and the line between the axis and the point where the hypotenuse meets the circle.

Every circular function can be derived from the sine and cosine. Some easy and well-known ones:

The reciprocal functions:

Some more obscure ones:

Some more archaic ones include versin(x), vercos(x), coversin(x) and covercos(x). If you wish, you can research these yourself; they are rarely used today.