Notes 6-4: Amplitude for sine/cosine

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Notes 6-4 Amplitude for sine/cosine
Amplitude is the vertical expansion and
compression of the graph of a trig function.
examples y Asin? y Acos?
2
y sin?
3
y -sin?
y 2sin?
y ½ sin?
4
y cos?
y 2cos?
y -cos?
5
Period The amount (interval) of time it takes
to complete one cycle. Note the values of a
function are the same for each given interval of
the domain. If y sink? or y cosk? ,
then
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p.373 Write an equation for each trig
function with the given amplitude and period.
13. Sine with A 7 15. Cosine with A 3/4
and per p/3 and per 6
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23. State the amplitude and period, then graph.
y 5cos?
' " ??? "11T9 ??? To ' ii9"3it . oflt3 's-'9 ???
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25. State the amplitude and period, then graph.
y -2/5 sin9?
' " ??? "11T9 ??? To ' ii9"3it . oflt3 's-'9 ???