How do you use the amplitude and period to graph y=3sin8x?

1 Answer
Feb 15, 2016

One full wave for y = 3 sin 8x is from ( - π8, 0) to ( +π8, 0). through the origin (0, 0) , It touches y = - 3 and y = +3, in between, at ( - π16, - 3) and ( +π16, 3),

Explanation:

The amplitude is 3. The period of sin kx is 2πk.
The wave repeats periodically in both -ve and +ve x-directions, with period π4.
y = -3 and y = 3 are tangents to the sine wave.