Half angle of sine given angle in degrees

The video tutorial explains how to solve trigonometric problems using the half angle formula, specifically focusing on finding the sine of 105 degrees. The instructor emphasizes the importance of understanding the quadrant in which the angle lies to determine the sign of the result. The lesson includes simplifying complex fractions under a radical and concludes with a discussion on breaking up radicals across division and multiplication.

What is the formula for sine of half an angle?

How do you determine the quadrant for an angle of 105 degrees?

Explain why the sine function is positive in the second quadrant.

What is the reference angle for 210 degrees and how does it affect the cosine value?

Describe the process of simplifying a complex fraction under a radical.