Consider the function f(x) = sin px, p , 0 x 360. The closest

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Consider the function f(x) = sin px, p ∈ ℝ, 0 ≤ x ≤ 360°.

The closest point to the origin that the graph of f(x) crosses the x-axis has x-coordinate 36°.

a. Determine the value of p and sketch the graph of y = f(x).

b. Write down the period of f(x).

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