How do you find the amplitude and period of #y= 6 sin x#?

1 Answer
Burglar
Jun 17, 2016

The amplitude is #6# the period #2pi#.

Explanation:

#sin(x)# oscillate between #-1# and #+1# because it is constructed in the circle of radius #1#. Then, when it is multiplied by #6# it will oscillate between #-6# and #+6#, so the amplitude will be #6#.

The period is when the function repeats its values. For the #sin# this happens after #2pi#. The variable #x# is in the #sin# without any modification, so the period is still #2pi#.

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