AP Calculus Summer Work Notes. Undefined slopeZero slope equal Opposite multiplicative inverses (aka opposite reciprocals) rate of change.

Slides:

Advertisements

Similar presentations

By bithun jith maths project.

Advertisements

Trigonometric Functions

Pre-Calculus Flash Drill. See if you can identify the function that probably goes with each of these simple graphs….

Special Angles and their Trig Functions

Trigonometric Functions of Multiples of 30° and 45° & Evaluating Trigonometric Functions with a Calculator.

Graphs of the Sine, Cosine, & Tangent Functions Objectives: 1. Graph the sine, cosine, & tangent functions. 2. State all the values in the domain of a.

Section 10.1 Tangent Ratios.

Copyright © Cengage Learning. All rights reserved.

Evaluating Sine & Cosine and and Tangent (Section 7.4)

Section 3.5a. Evaluate the limits: Graphically Graphin What happens when you trace close to x = 0? Tabular Support Use TblStart = 0, Tbl = 0.01 What does.

7.3 Trig. Functions on the Unit Circle. 7.3 CONT. T RIG F UNCTIONS ON THE U NIT C IRCLE Objectives:  Graph an angle from a special triangle  Evaluate.

A Library of Functions This presentation will review the behavior of the most common functions including their graphs and their domains and ranges. See.

Trigonometric Function Graphs. a A B C b c General Right Triangle General Trigonometric Ratios SOH CAH TOA.

Sullivan Precalculus: Section 5.2 Trig Functions: Unit Circle

Honors Calculus I Chapter P: Prerequisites Section P.1: Lines in the Plane.

AP Calculus Chapter 2, Section 2 Basic Differentiation Rules and Rates of Change

1997 BC Exam. 1.6 Trig Functions Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2008 Black Canyon of the Gunnison National.

Section 6.4 Inverse Trigonometric Functions & Right Triangles

13.7 (part 2) answers 34) y = cos (x – 1.5) 35) y = cos (x + 3/(2π)) 36) y = sin x –3π 37) 38) y = sin (x – 2) –4 39) y = cos (x +3) + π 40) y = sin (x.

Warm up. - Fundamental Trigonometric Identities Chapter 6 Analytic Trigonometry Language Objectives: We will learn about the More of Trigonometric Functions.

5.3 Properties of the Trigonometric Function. (0, 1) (-1, 0) (0, -1) (1, 0) y x P = (a, b)

Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions: The Unit Circle.

Trig. Functions & the Unit Circle. Trigonometry & the Unit Circle VERY important Trig. Identity.

1.6 Trig Functions Greg Kelly, Hanford High School, Richland, Washington.

Computing the Values of Trigonometric Functions of Acute Angles Section 3.3.

Section 4.7 Inverse Trigonometric Functions Pg

Finding Trigonometric Function Values using a Calculator Objective: Evaluate trigonometric functions using a calculator.

AP CALCULUS 1009: TRIG FUNCTIONS and e. Derivative of Sine -Graphically.

An angle is formed by two rays that have a common endpoint. One ray is called the initial side and the other the terminal side.

More Trigonometric Graphs

1-4 Properties of Real Numbers. Properties 1.Additive Identity – the sum of any number and zero is equal to the number. a + 0 = a 2.Multiplicative Identity.

Sullivan Precalculus: Section 5.3 Properties of the Trig Functions Objectives of this Section Determine the Domain and Range of the Trigonometric Functions.

8-3 Trigonometry Part 2: Inverse Trigonometric Functions.

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.

Section 4.7 Inverse Trigonometric Functions. Helpful things to remember. If no horizontal line intersects the graph of a function more than once, the.

Chapter 8: Trigonometric Equations and Applications. Section 8.1: Simple Trigonometric Equations.

Algebra 1 Section 5.3 Write the equation of a line given 2 points on the line Write the equation of the line that passes through the points (7,4) and (3,12)

Find the values of the six trigonometric functions for 300

Trigonometric Functions: The Unit Circle

Copyright © Cengage Learning. All rights reserved.

Section 4.2 The Unit Circle.

Trigonometric Functions: The Unit Circle Section 4.2

Copyright © Cengage Learning. All rights reserved.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Calculating Sine, Cosine, & Tangent (5.9.1)

2.3 Basic Differentiation Formulas

Graphs of Sine and Cosine Functions

Graphing Trigonometric Functions

8.3 Trigonometric Identities (Part 1)

Graphs of Sine and Cosine

Black Canyon of the Gunnison National Park, Colorado

Bell Ringer Solve even #’s Pg. 52.

Trigonometric Functions

Black Canyon of the Gunnison National Park, Colorado

Trigonometric Graphs L.O.

TEST 1-4 REVIEW 381 Algebra.

Basic Identities Trigonometric Identities Section 3.1

Copyright © Cengage Learning. All rights reserved.

Trigonometric Identities

5.3 Properties of the Trigonometric Function

Sullivan Algebra and Trigonometry: Section 7.6

Geometry Section 7.7.

No Unit Circle For Upcoming Assessments:

8.3 Trigonometric Identities (Part 1)

TEST 1-4 REVIEW 381 Algebra.

Right Triangles and Trigonometry

Trigonometric Ratios Geometry.

Slope Graphing Day 2.

Presentation transcript:

AP Calculus Summer Work Notes

Undefined slopeZero slope equal Opposite multiplicative inverses (aka opposite reciprocals) rate of change

y = mx + b m b m point slope

Notecards from Section 1.1: Rules for Rounding ALL DECIMAL PLACES NEED TO BE ROUNDED OR TRUNCATED TO THE THOUSANDTHS PLACE (THAT’S 3 DECIMAL PLACES!!!!!)

Notecards from Section 1.2: Odd/Even Functions EVEN: Symmetric about the Y-AXIS f(-x) = f(x) ODD: Symmetric about the ORIGIN f(-x) = -f(x)

Notecards from Parent Functions and Transformations: Transformations (Parent Functions) Know the following parent graphs without a calculator:

Notecards from Section 1.5: Inverse Functions

I would put these on a notecard also…

0 NOTECARD WORTHY: Unit Circle…memorize the sine and cosine of 30, 45, 60 and 90 degree angles and their multiples.

Notecards from Section 1.6: Trigonometric Identities