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

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