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