# 6.4(Two) - C kj'lellbL 3 Determine the Amplitude and Period...

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Unformatted text preview: ' C kj: 'lellbL 3. Determine the Amplitude and Period of Sinusoidal Functions. r‘ I f in .X Amplitude: M W D d 5 :1 Pt SmX' j: ACOSX .. m, .1: mm gm; wuss Acosxem) y=Asinx,A::~ 0 Period 2 2w m _. km y 2 sin {‘mx}, A :2» 0, to 3:418 ' _ 3:11 Period ~— m is Cam—“ch "Ham QWPII+UL¢L Theorem <1“: 2%. .‘5 cale m chd. If to Le (L the amplitude and period of y m A sinmx) and y m A 603mm) are k r ‘ 00mm «P jun” in. 3.3.! , , Whig“: 2) 2n F-‘tCI’ﬁw )t :) Determine the amplitude and period of y = —2005(7rx). [Mr 1“ a 4. Graph Sinusoidal Functions Using Key goints. I SUMMARY Steps for Graphing a Sinusoidal Function of the Form y = A sin(wx) or i y = A coshux) Using Key Points Swan 1: Determine the amplitude and period of the sinusoidai functiom ma STEP 2: Divide the interval [0.1] into four suitintewais of the same length. (:J 31‘1il'3: Use the endpoints of these suitintervais to obtain five key points on the graph. STEP 4: Plot the ﬁve key points with :1 sinusoidai graph to obtain the graph 0! one cycle. Extend the graph in each direction Eu make it complete. 3/ ow 5 P in 4*? d9"? 5. Find an E nation for a Sinusoidal Gra h 3: “306sz L’3CoS-F—X (m) ...
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6.4(Two) - C kj'lellbL 3 Determine the Amplitude and Period...

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