Math tutorial for using the sum of two angles formula of sine for 105 degrees

The video tutorial explains how to find the exact value of sine 105 degrees using sum and difference formulas. It begins by discussing why the unit circle and calculator approximations are insufficient for this task. The instructor then demonstrates how to rewrite 105 degrees as a sum of known angles and applies the sum formula to calculate the exact value. The tutorial concludes with a discussion on simplifying the expression and understanding radical rules.

What is the significance of knowing the unit circle when evaluating sine values?

How do you simplify the expression obtained from evaluating sine using the sum and difference formula?

What are the different ways to express the final answer when evaluating sine of 105 degrees?