Given an angle and constraint find the six trig functions of the angle

The video tutorial explains how to evaluate all six trigonometric functions given specific constraints. It starts by introducing the problem of finding trigonometric values when the cosecant of Theta equals four and the cotangent is less than zero. The instructor uses a triangle and the unit circle to determine the values, focusing on the relationship between sine and cosecant. The video also covers how to identify the correct quadrant for the triangle based on cotangent constraints and uses the Pythagorean theorem to find missing side lengths. Finally, it demonstrates how to evaluate each trigonometric function, including rationalizing denominators.

What is the significance of the opposite side and hypotenuse in evaluating trigonometric functions?

Describe how to rationalize the denominator when calculating secant of Theta.

How do you find the tangent of Theta using the opposite and adjacent sides?