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 initial value of the cosine used in the calculation?

• 1/3

• 3/4

• 2/3

• 1/2

What is the result of adding 1 to the initial cosine value?

• 5/3

• 2/3

• 4/3

• 3/2

What is the reciprocal of the value obtained after addition?

• 3/2

• 2/3

• 3/4

• 4/3

How is the expression sqrt 2 / sqrt 3 simplified?

• sqrt 3 / 2

• sqrt 6 / 2

• sqrt 2 / 3

• sqrt 6 / 3

What is the final simplified form of the expression?

• sqrt 2 / 6

• sqrt 3 / 2

• sqrt 3 / 6

• sqrt 6 / 3