The infinite trigonometric functions

Subject of occupations:
TRIGONOMETRIC FUNCTIONS IN A RECTANGLE
Subject of the previous lesson
Terminating trigonometric functions

Lesson 5

THE INFINITE TRIGONOMETRIC FUNCTIONS

If to divide rectangle elements with simple diagonal into terminating trigonometric functions, the infinite trigonometric functions will turn out.

Transition from terminating trigonometric functions to the infinite

The tangent and cotangent can be presented as the party of a rectangle when as a unit of measure of length length of the perpendicular party is accepted. This geometrical representation of a tangent and cotangent can be considered as visual display of interaction between numbers (the infinite trigonometric functions) and units of measure (unit) as a result of which size appears. Other option of geometrical representation of size is shown in earlier published work.

The tangent and cotangent

Similar representation of numbers and units of measure possesses property of a rectangular symmetry. Value of a angle the alpha in this case characterizes a dependence angle between number and a unit of measure.

At the following lesson we will consider
Quantity