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
ARCTAN(w)
w=opposite/adjacent
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