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

1 Answer
A. S. Adikesavan
Feb 15, 2016

One full wave for y = 3 sin 8x is from ( - #pi/8#, 0) to ( +#pi/8#, 0). through the origin (0, 0) , It touches y = - 3 and y = +3, in between, at ( - #pi/16#, - 3) and ( +#pi/16#, 3),

Explanation:

The amplitude is 3. The period of sin kx is 2#pi/k#.
The wave repeats periodically in both -ve and +ve x-directions, with period #pi/4#.
y = -3 and y = 3 are tangents to the sine wave.

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