How do you find the period and amplitude of #y=1/3sin8x#?
1 Answer
Aug 5, 2017
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," vertical shift "=d#
#"here "a=1/3,b=8,c=d=0#
#rArr"amplitude "=|1/3|=1/3," period "=(2pi)/8=pi/4#
