Evaluate the half angle of cosine from a triangle

The video tutorial explains how to solve a mathematical problem involving cosine. It begins with setting up the problem and identifying it as a positive case. The instructor then demonstrates how to solve the equation by adding one to the cosine value, simplifying the expression, and multiplying by the reciprocal. The process continues with simplifying the radical expression and rationalizing the denominator to reach the final answer. The tutorial concludes with a brief summary of the solution.

What is the result of one plus the cosine in this case?

Explain the process of multiplying by the reciprocal.

How do you simplify the radical expression mentioned?

What is the final answer after rationalizing the denominator?

What does it mean when it is stated that the expression cannot be simplified further?