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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
Pre-Calculus Flash Drill. See if you can identify the function that probably goes with each of these simple graphs….
If you have not watched the PowerPoint on the unit circle you should watch it first. After youve watched that PowerPoint you are ready for this one. If.
By bithun jith. Done by bithun jith binoy k.v.pattom You must know and memorize the following. Pythagorean Identities: sin 2 x + cos 2 x = tan 2.
Trigonometric Functions The Unit Circle. Definition: A circle whose center is the origin and whose radius has a length of one. Based on the definition,
CHAPTER 4 Trigonometric Functions. 4.1 Angles & Radian Measure Objectives –Recognize & use the vocabulary of angles –Use degree measure –Use radian measure.
Unit 2 - Right Triangles and Trigonometry Chapter 8.
Copyright © Cengage Learning. All rights reserved. 4.4 Trigonometric Functions of Any Angle.
Trigonometric Equations In quadratic form, using identities or linear in sine and cosine.
The inverse trigonometric functions The reciprocal trigonometric functions Trigonometric identities Examination-style question Contents © Boardworks Ltd.
(r, ). You are familiar with plotting with a rectangular coordinate system. We are going to look at a new coordinate system called the polar coordinate.
Objectives: 1.To find the intercepts of a graph 2.To use symmetry as an aid to graphing 3.To write the equation of a circle and graph it 4.To write equations.
Trigonometry Review. Hopefully, you remember these from last year (you were required to memorize ten of them) plus SOH CAH TOA. If not, you need to.
Copyright © Cengage Learning. All rights reserved. 4.6 Graphs of Other Trigonometric Functions.
P.3: Part 2 Functions and their Graphs. Transformations on Parent Functions: y = f(x): Parent Functions y = f(x – c) y = f(x + c) y = f(x) – c y = f(x)
1 To find the x-intercepts of y = f (x), set y = 0 and solve for x. INTERCEPTS AND ZEROS To find the y-intercepts of y = f (x), set x = 0; the y-intercept.
3.1 Symmetry & Coordinate Graphs. Point symmetry – two distinct points P and P are symmetric with respect to point M if and only is M is the midpoint.
The Further Mathematics network
(x, y) r Use Pythagorean Theorem: x 2 + y 2 = r 2 Note: x can be and y can be (depending on the Quadrant) Since r is the radius, it must be (+) because.
Chapter P Preparation for Calculus HW page odd P odd.
Using the TI-89. Home Screen This is where all “normal” calculator stuff is taken care of. The TI-89 does not have a squared key, instead all powers are.
Bellringer. Chapter 6: Section 2 Slope-Intercept Form.
Stuff you MUST know Cold for the AP Calculus Exam In the morning of Tuesday, May 3, AP Physics & Calculus Covenant Christian High School 7525 West.
GRAPHS OF OTHER TRIG FUNCTIONS. We are interested in the graph of y = f(x) = tan x Start with a "t" chart and let's choose values from our unit circle.
Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.
Higher Mathematics Unit 1 Trigonometric Functions and Graphs.
Objective - To use basic trigonometry to solve right triangles. Angle to Angle Relationships Side to Side Relationships Angle to Side Relationships a b.
Copyright © Cengage Learning. All rights reserved. 4 Trigonometric Functions.
Section 5.1 – Exponential Functions and Their Graphs.
What is similar about these objects? What do we need to pay attention to when objects are rotated?
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