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

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Answer 1 · 2017-01-01T23:14:18

The amplitude is $4$ and the period is $2pi$ .

Find the amplitude and period of $y=color(red)4sintheta$ .

A sine function can be written as $y=Asin(Bx-C)+D$

where $A$ is the amplitude

$(2pi)/B$ is the period

$C/B$ is the phase shift and

$D$ is the vertical shift.

This example, $y=4sintheta$ , may be be written as
$y=color(red)4sincolor(blue)1theta$ where
$A=color(red)4$ and $B=color(blue)1$

The amplitude is $color(red)4$ and the period is $(2pi)/color(blue)1=2pi$ .

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