How do you find the amplitude and period of #y=7/3cos4x#?

1 Answer
Jim G.
May 7, 2018

#"amplitude "=7/3," period "=pi/2#

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)|)))#

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

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

#"here "a=7/3,b=4,c=d=0#

#rArr"amplitude "=|7/3|=7/3," period "=(2pi)/4=pi/2#

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