p.321 #103
Average Temperature
(4.5) Graphs of Sine and Cosine Curves
Objective: Students will know how to sketch graphs of sine and cosine functions.
I. Basic Sine and Cosine Curves
y = sin x
Five Key Points
Intercept (0, 0)
Max (π/2, 1)
Intercept (π, 0)
Min (3π/2, -1)
Intercept (2π, 0)
y = cos x
Five Key Points
Max (0, 1)
Int (π/2, 0)
Min (π, -1)
Int (3π/2, 0)
Max (2π, 1)
General Form of Sine and Cosine equations
y = d + a sin (bx - c)
y = d + a cos (bx - c)
II. Amplitude and Period of Sine and Cosine Curves
What happens when we change a?
Use this website, Online Graphing Calculator,
to graph the functions below. See how the graph changes from y = sin(x)
y = 2sin x
y = 4sin x
y = (1/2)sin x
y = -sin x
y = (-1/2) sin x
Use the Student Success Organizer to take notes.
What happens when we change b?
Use the Online Graphing Calculator
to graph the functions below. See how the graph changes from y = sin(x)
y = sin(2x)
y = sin(4x)
y = sin((1/2)x)
y = sin(-x)
Use the Student Success Organizer to take notes.
Watch Video Tutor about Sine Functions
Watch Video Tutor about Cosine Functions
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