Question

What is the period of `y = -4cos(3x+pi/2) + 2`?

Answer 1

`"period "=(2pi)/3`

Explanation:

`"the standard form of the cosine function is"`

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

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

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

`"here " a=-4,b=3,c=pi/2" and " d=2`

`rArr"period "=(2pi)/3`