Evaluate the half angle of tangent using a triangle

The video tutorial covers the concept of secant in trigonometry, focusing on its application in the third quadrant. It explains the relationship between the hypotenuse, adjacent, and opposite sides of a triangle, emphasizing the importance of sign conventions. The tutorial demonstrates how to simplify radicals, specifically sqrt 8, using the Polygon theorem. It also covers the calculation of tangent using cosine and sine values, and provides a detailed explanation of simplifying complex fractions and rationalizing denominators. The tutorial emphasizes arithmetic skills and simplification techniques throughout.

What is the value of the hypotenuse in the given scenario?

How do you simplify the radical sqrt(8)?

What is the formula for tangent in relation to cosine and sine?

Explain how to rationalize the denominator in the given expression.

What arithmetic steps are involved in simplifying the expression to get -sqrt(2)?