Evaluating the composition of Functions using Right Triangles

The video tutorial explains how to evaluate the cosecant of an arctangent using right triangles. It begins by examining the innermost function, arctangent, and discusses creating right triangles with given values. The tutorial explores different triangle configurations and their positions on the unit circle, emphasizing the importance of the correct quadrant. The Pythagorean theorem is applied to find the hypotenuse, and the final calculation of cosecant is performed using the hypotenuse and opposite side.

What is the significance of the range of the tangent function when evaluating angles?

How do you calculate the cosecant of an angle using the hypotenuse and opposite side?