Pre-Calculus - How to use the addition formula for two angles of sine cos105

The video tutorial explains how to find the sine of 105 degrees by decomposing it into known angles using the sum and difference formulas. The instructor demonstrates how to use the unit circle to determine the sine and cosine values of 60 and 45 degrees, and then simplifies the expression to find the final result.

Describe the process of combining the sine and cosine values to find the sine of 105 degrees.

What is the final answer for the sine of 105 degrees after factoring out common terms?