Question

how do you find the interval for theta for which the graph is traced only once

Answer 1

One full cycle for sin(x) is: \(0 \le x \le 2\pi\).
One full cycle for sin(2x) is: \(0 \le x \le \large \frac{2\pi}{2}=\pi\).
One full cycle for sin(3x) is: \(0 \le x \le \large \frac{2\pi}{3}\).
One full cycle for sin(k*x) is: \(0 \le x \le \large \frac{2\pi}{k}\).

Answer 2

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