Using sum and difference formula to find the exact value with cosine

The video tutorial covers the challenge of finding angles on the unit circle, specifically π/12 and 7π/12. It explains how to break these angles into sums or differences of known angles like π/3 and π/4. The tutorial compares working with degrees and radians, highlighting the ease of degrees. It also demonstrates using the cosine addition formula to solve trigonometric problems, emphasizing the importance of identifying angles and using the unit circle for validation.

What angles can be used to break down π / 12 into the sum or difference of two angles?

Explain how to find common denominators when adding angles in radians.

Describe the cosine formula for addition and how it is applied in this context.

What is the result of multiplying the cosine and sine values for π / 3 and π / 4?

How can you simplify the expression sqrt 2 / 4 - sqrt 6 / 4?