PreCalculus

Chapter 2 Graphing Trigonometric Functions

Unit 2-1 Graphing Trigonometric Functions by Calculator

Standard 2a: Use a graphing calculator to find the graph of a trigonometric equation.
Standard 2b: Find the graph from the equation of a sinusoidal without a graphing calculator.
Standard 2c: Given a sinusoidal graph or its traits, find its equation.

Agenda

Comparing Graphs of Sines and Cosines
Traits of Sinusoidal Functions

Amplitude
Vertical Shift
Period
Horizontal Shift

Desmos Activity
Assignment 2-1: Part A Pg 60 #1-8 Part B Pg 61 #17-25

Unit 2-2 Solving Sinusoidal Equations

Standard 2d: Given a sinusoidal equation, find values of y from x and vice versa.

Agenda

Solving for x using

Reference Angles & Quadrants
Coterminal Angles

Finding Values of y in Sinusoidal Functions
Assignment 2-2: Part A Pg. 72 #1-8
Assignment 2-2: Part B Using the methods learned in this unit: Pg 81 #1 c) d), 2 c) d), 3 b) c), 4 b) c), 5 c) d), 6 c) d) 7 c)

Unit 2-3 Mathematical Modeling with Sinusoidals

Standard 2e: Model and Solve Sinusoidal Equations

Agenda

Find the traits given in the word problem

Half the distance from max to min is the amplitude
The midpoint between max and min is the sinusoidal axis (vertical shift)
The period is the time it takes for the model to complete one cycle
The horizontal shift is determined by when the graph has its first maximum

Using the Calculator to Graph and Solve for Values Within the Model
Assignment 2-3: Pg. 81 #1-10

Unit 2-4 Reciprocal & Quotient Curves

Standard 2f: Find the graph from the equation of the tangent and cotangent functions.
Standard 2g: Find the graph from the equation of the secant and cosecant functions.

Agenda

Graphing in Geogebra
Solving for x using

Tangent function as the quotient of sine divided by cosine
Cotangent function as the quotient of cosine divided by sine
Secant Function as the reciprocal of the cosine function
Cosecant Function as the reciprocal of the sine function

Assignment 2-4: Pg. 92 #1-8 (in Geogebra or TI)