1. 1 3.3 - Derivatives of Trigonometric Functions

2. 2 Derivative Definitions We can now use the limit of the difference quotient and the sum/difference formulas for trigonometric functions to determine the following derivatives.

3. 3 Try These Find the derivative.

4. 4 Examples 1. Find the equation of the tangent line to the curve at the point. 2. Determine

5. 5 Limit Definitions Since, Therefore,

6. 6 Limit Definitions

7. 7 Try These In both of the previous definitions, θ can take on many forms. Here are a few examples.

8. 8 Try These Evaluate. A common effective strategy is to separate the quotient into a product.