Find the exact value using difference formula of two angles with sine

The video tutorial covers the use of the unit circle and calculators for finding exact values in trigonometry. It explains the concept of sum and difference angles and how to apply the sine formula for these angles. The tutorial also demonstrates simplifying trigonometric expressions using algebra and addresses common mistakes in calculations. The focus is on understanding the formulas and applying them correctly to find exact values without relying on calculators.

What is the significance of using the unit circle when evaluating trigonometric functions?

Explain the difference between using a calculator and finding exact values using the unit circle.

What are sum and difference angles, and how are they used in trigonometry?

How can you rewrite 15 degrees as the sum or difference of known angles?

Describe the sine and cosine formulas for the sum and difference of angles.

What common mistakes do students make when applying the sine and cosine formulas?

How do you simplify the expression involving square roots in trigonometric calculations?