What are the definitions of trigonometric functions of any angle

The video tutorial explains the definitions of trigonometric functions for any angle, starting with the basics of trigonometric functions using special triangles and the unit circle. It then discusses how to handle angles not on the unit circle by using coordinates and forming triangles. The tutorial covers the trigonometric ratios for any angle, including sine, cosine, and tangent, and introduces the reciprocal functions: cosecant, secant, and cotangent. The video emphasizes understanding these concepts through the use of coordinates and the Pythagorean theorem.

What is the relationship between the coordinates of a point and the radius when evaluating trigonometric functions?

Describe how to use the Pythagorean theorem to find the radius when given the coordinates of a point.