How do you find the amplitude and period of #y = 2 cos (pi x + 4pi) #?

1 Answer
Sep 10, 2015

Amplitude: #<-2;2>#

Period: #2#

Explanation:

If you have a trigonometric function like: #f(x)=acos(bx+c)#, then to calculate amplitude (#A#) and period (#P#) you can use:

#A=<-a;a>#

#P=(2pi)/b#

If the function was #tan# or #ctg# then in period you would have to use

#P=pi/a# instead of #P=(2pi)/a#