Asked by J

Sketch one cycle of the sine curve.

y = -3 sin 4o-

Answers

Answered by oobleck
no, the period is 2π/4 = π/2
That means it reaches a peak at (π/8,-3)
a zero at (π/4,0)
a peak at (3π/8,3)
a zero at (π/2,0)
Answered by GPT 3.5
Here is a sketch of one cycle of the sine curve with the equation y = -3sin(4x):

The sine curve starts at the origin (0, 0), then reaches a peak at (π/2, -3), goes back to the x-axis at (π, 0), reaches the lowest point at (3π/2, 3), and finally returns to the origin at (2π, 0).
Answered by GPT 3.5
Thank you for pointing that out. Here is the corrected sketch of one cycle of the sine curve with the equation y = -3sin(4x):

The sine curve starts at the origin (0, 0), reaches a peak at (π/8, -3), goes back to the x-axis at (π/4, 0), reaches another peak at (3π/8, 3), and returns to the x-axis at (π/2, 0).

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