# Trigonometric Functions Table

The trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides.

 Returns Input Inverse cosine Angle in radians `ARCCOS(w)` `w`=adjacent/hypotenuse Inverse cotangent `ARCCOT(w)` `w`=adjacent/opposite Inverse cosecant `ARCCSC(w)` `w`=hypotenuse/opposite Inverse secant `ARCSEC(w)` `w`=hypotenuse/adjacent Inverse sine `ARCSIN(w)` `w`=opposite/hypotenuse Inverse tangent `ATN(w)` `w`=opposite/adjacent Cosine adjacent/hypotenuse `COS(r)` `r`=angle in radians Cosecant hypotenuse/opposite `CSC(r)` Secant hypotenuse/adjacent `SEC(r)` Sine opposite/hypotenuse `SIN(r)` Tangent opposite/adjacent `TAN(r)`

All of the angles used in these functions are based on radians instead of degrees (π radians = 180°).

A very good approximation of π which I find easy to remember is 355 / 113 (and more accurate than the more commonly used 22 / 7 approximation). Note that it is 113355 split in the middle and switched around to create a ratio.

So if you have degrees, you can use the following formula.

degrees / 180 * 355 / 113 = radians

Which is the same as:

355 * degrees / 20340 = radians

Converting back can be done by switching around the division and multiplication.

radians * 180 / 355 * 113 = degrees

Which is the same as:

20340 * radians / 355 = degrees