Evaluate the composition of inverse trig function with a negative value

The video tutorial explores the concept of evaluating trigonometric functions when given a sine value that does not correspond to a point on the unit circle. The instructor explains the limitations of the unit circle for certain values and demonstrates how to use a triangle with a different radius to solve for cosine using the Pythagorean theorem. The tutorial emphasizes understanding the relationship between sine, cosine, and the hypotenuse in trigonometry.

What restrictions exist when evaluating sine and cosine values based on the unit circle?

Describe the process of using the Pythagorean theorem to find the cosine of an angle.