Using composition of inverses using triangles

The video tutorial explains how to evaluate the inverse of tan(X/sqrt2) by constructing a triangle and calculating the hypotenuse to find the cosecant. The process involves understanding tangent as opposite over adjacent, calculating the hypotenuse using the Pythagorean theorem, and deriving the cosecant as the reciprocal of sine. The tutorial concludes with the final answer and a brief closing remark.

What is the relationship between tangent and the sides of a triangle?

How do you find the cosecant of a function based on the triangle's sides?

What is the formula used to find the hypotenuse in a right triangle?

Explain how to derive the cosecant from sine using the triangle's dimensions.

What is the final expression for the cosecant in terms of X?