lesson 4.5 graph of sine & cosine
DESCRIPTION
Lesson 4.5 Graph of Sine & Cosine. Find your work on graphs of sine and cosine from the last couple of days. Sine/Cosine Graph – Key Points. Properties of Sine & Cosine Domain: Range: Intercepts: (when y = 0) Amplitude: Period:. y = sin x. y = cos x. General Equation - PowerPoint PPT PresentationTRANSCRIPT
Lesson 4.5Graph of Sine & Cosine
Find your work on graphs of sine and cosine from the last couple of days.
Sine/Cosine Graph – Key Points
Properties of Sine & Cosine
Domain:
Range:
Intercepts:
(when y = 0)
Amplitude:
Period:
y = cos x
y = sin x
General Equation
y = a sin (bx – c) + d y = a cos (bx – c) + d
a → affects amplitude
b → affects period
c → shifts horizontally
d → shifts vertically
Endpoints of One-Cycle
Solve the equations:
bx – c = 0 and bx – c = 2л
Example 1: Discuss the graph of
3sin2
1 xy
Example 2: Write an equation for the graph below: