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

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

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

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