How to evaluate sum of two angles using the sum formula for sine

The video tutorial explains the sine formula for the sum of two angles, using U and V as examples. It covers the unit circle and how to determine coordinates for specific angles, such as π/6 and π/4. The tutorial demonstrates evaluating trigonometric expressions by plugging in angles and calculating the sine and cosine values. It concludes with a discussion on the signs of trigonometric functions and their differences.

What is the sign formula for the sum of two angles U and V?

How do you evaluate the sine and cosine for the angle π / 6?

What are the coordinates for the angle 3π / 4 in the unit circle?

Explain how to evaluate the expression sin(3π / 4) * cos(π / 6) + cos(3π / 4) * sin(π / 6).

What is the final answer after factoring out in the expression derived from the previous evaluation?