# How do you find the period and amplitude of #y=1/2cos((2x)/8)#?

##### 2 Answers

May 19, 2017

Amplitude:

Period:

#### Explanation:

The amplitude is the value multiplied by the cosine.

The period can be calculated by dividing

May 20, 2017

#### Explanation:

#"the standard form of the "color(blue)"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=1/2,b=1/4,c=d=0#

#rArr" amplitude "=|1/2|=1/2," period" =(2pi)/(1/4)=8pi#