Formulas for Trigonometric Functions: Sum/Difference, Double/Half-Angle, Prod-to-Sum/Sum-to-Prod

The video tutorial covers essential trigonometric formulas, including sum and difference, double angle, power-reducing, half-angle, and product-to-sum formulas. It explains their derivations, applications, and how to use them to find exact values of trigonometric functions. The tutorial emphasizes the importance of these formulas in solving trigonometric problems and verifying identities.

What are the sum and difference formulas for sine and cosine?

How can you find the exact value of cosine for angles not on the unit circle?

What is the significance of knowing the exact values of sine and cosine for certain angles?

Explain the double angle formula for sine and cosine.

How do you apply the double angle formula for tangent?

What are half-angle formulas and how are they derived?

Describe the product-to-sum and sum-to-product formulas.