The Wave Function
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The Wave Function. Expressing a cos x + b sin x in the form k cos( x ± ) or k sin( x ± ). Heart beat. - PowerPoint PPT Presentation
Transcript of The Wave Function
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Part of the graph of y = 2 sin x + 5 cos x is shownExpress y = 2 sin x + 5 cos x in the form k sin (x + a) where k > 0 and 0 a 360b) Find the coordinates of the minimum turning point P.Expand ksin(x + a):Equate coefficients:Square and addDividing:Put together:Minimum when:P has coords.sin + , cos +
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Expand k sin(x - a):Equate coefficients:Square and addDividing:Put together:Sketch GraphWrite sin x - cos x in the form k sin (x - a) stating the values of k and a where k > 0 and 0 a 2b) Sketch the graph of sin x - cos x for 0 a 2 showing clearly the graphs maximum and minimum values and where it cuts the x-axis and the y-axis.a is in 1st quadrant(sin and cos are +)