How do you find the amplitude and period of y=4sinx?

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Answer 1 · 2018-05-10T14:05:23

Please see the explanation below

The maximum value of #sinx# is #1#

Therefore,

The amplitude of #y=4sinx# is #y_(max)=4*1=4#

The period of a periodic function is

#f(x)=f(x+T)#

Where the period is #=T#

Therefore,

#4sin(x)=4sin(x+T)#

#sinx=sinxcosT+sinTcosx#

Therefore,

#{(cosT=1),(sinT=0):}#

#<=>#, #T=2pi#, #[2pi]#

The period is #=2pi#

graph{4sinx [-5.83, 14.17, -4.52, 5.48]}