How do you find the amplitude and period of #y=5/2sin7x#?

1 Answer
Jan 5, 2018

#5/2" and "(2pi)/7#

Explanation:

#"the standard form of the 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=5/2,b=1,c=d=0#

#rArr"amplitude "=|5/2|=5/2," period "=(2pi)/7#