## Section 3.5 - Derivatives of Trigonometric Functions

**Essential Question(s):**

What characteristics do derivatives of trigonometric functions have?

How can derivatives of trigonometric functions be applied?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Derivative of the Sine Function__

- What is derivative of sine and cosine? (pg 144)

__Derivative of the Cosine Function__

- How can you apply the derivative rules with trig functions? (Ex 1 pg 144)

__Simple Harmonic Motion - OPTIONAL__

*Read "Radian Measure in Calculus". Take notes as needed. (sidebar pg 145)*- How do you calculate velocity and acceleration of a weighted spring? (Ex 2 pg 145)

__Jerk__

- What is jerk? (pg 145)
- How do you interpret jerk? (Ex 3 pg 146)

__Derivatives of the Other Basic Trigonometric Functions__

- What are the derivatives of tangent, cotangent, secant, cosecant? (pg 146)
- How do you find tangents and normal lines of trig functions? (Ex 4 pg 146)
- How do you calculate a second derivative of a trig function? (Ex 5 pg 146)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 143 - 147.
- Make sure to read the paragraphs between the examples and sidebar snippets.