Sketch one cycle of each sine curve. Assume a > 0. Write an equation for each graph. amplitude = 2 period = (pi/2)

Sketch one cycle of each sine curve. Assume a > 0. Write an equation for each graph. amplitude = 2 period = (pi/2)

Question
Functions
asked 2021-01-05
Sketch one cycle of each sine curve. Assume a > 0. Write an equation for each graph. amplitude = 2 period = \((pi/2)\)

Answers (1)

2021-01-06
1:
Sinusoidal Function
\(y= Asin(Bx)\)
where |A|=Amplitude
& B= Cycles from 0 to \(2pi\)
period \(=(2pi)/B\)
2:
Here Amplitude =2 & period= \((pi)/2\)
i.e A=2
\(B=(2pi)/(period)=(2pi)/(pi/2)=4\)
The required sine curve is \(y=2sin(4x)\)
Graph Could Be Drawn If Required
0

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