How do you find the amplitude and period of #y=2cosx#?

1 Answer
Daniel L.
May 19, 2015

The amplitude is #<-2;2># the period is #2pi#.

The basic amplitude of a cosine is #<-1;1>#, if you multiply the function by a number the amplitude of a function is also multiplied, so the amplitude of #y=2cosx# is #<-2;2>#.

The basic period of a cosine is #2pi# and it would change if there was a coefficient in front of #x# in a formula of the function.
In this case there are no coeficients, so the period remains unchanged.

Related questions
See all questions in Amplitude, Period and Frequency
Impact of this question
8466 views around the world
You can reuse this answer
Creative Commons License