The Derivatives of Trigonometric Functions

Slides:



Advertisements
Similar presentations
Lesson 13-1 Algebra Check Skills You’ll Need 13-4
Advertisements

Geometry Chapter 8.  We are familiar with the Pythagorean Theorem:
1 Chapter 8 Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine, Cosine, and Tangent 8.3 Derivatives of Trigonometric Functions 8.4 Integrals.
Lesson 14-1 Algebra Check Skills You’ll Need 14-4
Law of Cosines. We use the law of cosines and the law of sines because we need to be able to find missing sides and angles of triangles when they are.
Welcome to Unit 7! HW: 1 ) HW #1: p 427 # ) Make a stamp sheet OR print it out from my website Update: I will have your Unit tests graded by Thursday/
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
If is measured in radian Then: If is measured in radian Then: and: -
§3.3 Derivatives of Trig Functions The student will learn about: Derivative formulas for trigonometric functions. 1.
3.5 – Derivative of Trigonometric Functions
Section 3.1 – The Inverse Sine, Cosine and Tangent Functions Continued.
3.5 Derivatives of Trigonometric Functions. What you’ll learn about Derivative of the Sine Function Derivative of the Cosine Function Simple Harmonic.
Drill Convert 105 degrees to radians Convert 5π/9 to radians What is the range of the equation y = 2 + 4cos3x? 7π/ degrees [-2, 6]
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Derivatives of Trigonometric Functions Section 3.5.
6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas.
Quiz Draw the standard position angle for 210º
Trigonometric Identities
Warm up Perform the indicated operation and simplify the result in terms of the sine and cosine.
Quiz 13.5 Solve for the missing angle and sides of Triangle ABC where B = 25º, b = 15, C = 107º Triangle ABC where B = 25º, b = 15, C = 107º 1. A = ? 2.
Unit 6 Lesson 6b Trigonometric Ratios CCSS G-SRT 6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle,
Sine and Cosine Rule- Which One to Use?. Two Sides and Included Angle To find side x, use the …. cosine rule To find angle Y, use the … sine rule 7cm.
Holt Geometry 3-1 Lines and Angles  Paper for notes  Pearson 13.2.
Trigonometry Section 7.4 Find the sine and cosine of special angles. Consider the angles 20 o and 160 o Note: sin 20 o = sin160 o and cos 20 o = -cos 160.
Precalculus Honors March 2 nd Students will complete their daily warm-up problems. Go over any questions students have on previous night’s homework (page.
AP Calculus 3.2 Basic Differentiation Rules Objective: Know and apply the basic rules of differentiation Constant Rule Power Rule Sum and Difference Rule.
Find the values of the six trigonometric functions for 300
Lesson: Regular Polygons, Trigonometry, & Area
TRIGONOMETRY Math 10 Ms. Albarico.
QUIZ PRACTICE Trigonometric Angles Graphing Sine and Cosine
Homework, Page 460 Prove the algebraic identity. 1.
Warm Up Grab a solution sheet from each stack from the back table, and get out your home work from last night Lesson 27. We will review this for our warmup.
Bell Ringer Solve even #’s.
All Six Trigonometric Functions
Finding sin, cos, and tan.
Warm-up: Simplify: HW: pages (2-26 EVEN).
Trigonometry Review.
6-2 Trigonometry Day 2.
Differentiation Rules (Part 2)
5.2 Proving Trigonometric Identities
Trigonometric Equations with Multiple Angles
8.3 Trigonometric Identities (Part 1)
Inverse Trigonometric Functions
#1. | | # Simplify the expressions using the Distributive Property #3. 2 ( 1 + 5) #4. 3 ( y + 5 ) Bell Ringer.
Calculating Cosecant, Secant, and cotangent
Chapter 3 Section 5.
2.4 cosine law Let’s take a look at various trigonometric curves before moving on Understanding how the curves look for sine, cosine, tangent and their.
Do Now Laptop People What are the three types of imperialism?
How do we recognize and graph periodic and trigonometric functions?
Trigonometric identities and equations Sum and difference identities
Derivatives of Trigonometric Functions AP Calculus Honors Ms. Olifer
Review these 1.) cos-1 √3/ ) sin-1-√2/2 3.) tan -1 -√ ) cos-1 -1/2
Warm Up 30°±
3.2 Differentiability Arches National Park
You’ve got your results; now what?
Plan of the Day One-Question Quiz Score Chapter 1 Test
Circular Trigonometric Functions.
Unit 9 – Circular Trigonometry Section Trigonometric Values
Sec 3.3: Derivatives Of Trigonometric Functions
6.4 - Trig Ratios in the Coordinate Plane
Right Triangle Trigonometry
3.2 Differentiability Arches National Park
Government & Civilization
Let’s think about the function f() = sin 
Calculus I Instructor: Ms. Penabad
8.3 Trigonometric Identities (Part 1)
#1. | | # Simplify the expressions using the Distributive Property #3. 2 ( 1 + 5) #4. 3 ( y + 5 ) Bell Ringer.
9-10a Simple Trigonometric Equations
5.4 Sum and Difference Identities
Section 4.7.
The Constant and Power Rules for Derivatives
Presentation transcript:

The Derivatives of Trigonometric Functions Calculus 1 Ms. Penabad 2014

In today’s lesson we will cover: Theorem 3.10: Derivatives of Sine and Cosine Theorem 3.11: Derivatives of Trigonometric Functions Example 1 Example 2 Example 3

Sine and Cosine Theorem 3.10: Derivatives of Sine and Cosine derivative of sine: derivative of cosine:

Trigonometric Functions Theorem 3.11: Derivatives of Trigonometric Functions

Trick to remember Derivatives of Trigonometric Functions All of the functions that start with C are NEGATIVE

Trick to remember Derivatives of Trigonometric Functions 1 2 1 2

Class: You’re welcome to take a picture of this chart if you’d like Positives Negatives 1 2 1 2 Class: You’re welcome to take a picture of this chart if you’d like

It’s time for a group quiz! Row 1 students pair up with Row 2 students Row 3 students pair up with Row 4 students Row 5 students pair up with Row 6 students

It’s time for a group quiz! You and your partner will be turning in 1 Power Point Quiz paper. You may not use your calculators, but you may use your textbook and any notes you’ve taken in class. Download and print the Power Point Quiz Outline from the class wiki page.