A tide is modeled v the duty y=1/2sin(3θ), where* *θ is in radians. Define the graph the this function, consisting of its period, amplitude, and also points of intersection through the x-axis.

You are watching: A wave is modeled with the function y=1/2 sin 3 theta

A general sine duty has the form:

**y = a·sin(b(θ-c)) + d**

You role is:

**y = (1/2)·sin(3(θ-0)) + 0 = (1/2)·sin(3θ)**

It intersects the x-axis when y = 0

0 = (1/2)·sin(3θ)

which occurs when 3θ = ± n·π, n = 0, 1, 2, 3, 4, ..., or θ = ± n·π/3, n = 0, 1, 2, 3, 4,

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