Question

How do you find the amplitude, period, phase shift for `y=3/4sinx`?

Answer 1

`3/4,2pi," no phase shift"`

Explanation:

The standard form of the `color(blue)"sine function"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))`

`"where amplitude " =|a|," period " =(2pi)/b`

`"phase shift "=-c/b" and vertical shift " =d`

`"here " a=3/4,b=1,c=d=0`

`rArr" amplitude " =|3/4|=3/4," period " =2pi`

`"there is no phase shift"`