Graphing Form of Sine and Cosine Functions. Period The length of one cycle of a graph.
Notes Day 2 - 5.1 Graphing Sine and Cosine Functions.notebook · 2017-12-20 · Notes Day 2 - 5.1...
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Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017 Section 5.1 Graphing Sine and Cosine Functions Periodic Function is a function that repeats itself over regular intervals (cycles) of its domain Period is the length of the interval of the domain over which a graph repeats itself Amplitude is half the distance between the maximum and minimum values of a periodic function period=6 period=6 amplitude is 1/2 this distance amplitude=2 amplitude is 1/2 this distance amplitude=2.5 period=2 period=2 amplitude is 1/2 this distance amplitude=3 amplitude is 1/2 this distance amplitude=2 Sinusoidal Curve is the name given to a curve that fluctuates (oscillates) back and forth (up and down) from a centre line
Transcript of Notes Day 2 - 5.1 Graphing Sine and Cosine Functions.notebook · 2017-12-20 · Notes Day 2 - 5.1...
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Section 5.1 Graphing Sine and Cosine Functions
Periodic Function is a function that repeats itself over regular intervals (cycles) of its domain
Period is the length of the interval of the domain over which a graph repeats itself
Amplitude is half the distance between the maximum and minimum values of a periodic function
period=6 period=6amplitude is 1/2this distanceamplitude=2
amplitude is 1/2this distanceamplitude=2.5
period=2
period=2
amplitude is 1/2this distanceamplitude=3
amplitude is 1/2this distanceamplitude=2
Sinusoidal Curve is the name given to a curve that fluctuates (oscillates) back and forth (up and down) from a centre line
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Curve of Cosine
Make your increments on the graph π 6
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Practice writing the exact values for the sine and cosine values. You will need to write some as decimals for plotting purposes.
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
This is the table of values we will always start with for sine functions.
This is the table of values we will always start with for cosine functions.
Important
Important
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
y = a sin ( b(x))
reflection on x axis reflection
on y axis
vertical stretch
horizontalstretch
Recall from our Transformation Chapter:
For functions of the form y=asinbθ and y=acosbθ, where a, b≠0,
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Ex(1) State the amplitude and period (in radians) of the equation
Ex(2) Write the equation of the cosine function with an amplitude of 3 and a period of
Exercises: Page 233 235 # 48, 10, 14
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
Ex(3) Graph
Let's predict some information, based on the above formula, before we graph the sine function
Notes Day 2 5.1 Graphing Sine and Cosine Functions.notebook December 20, 2017
