the movement of the progress bar may be uneven because questions can be worth more or less (including zero)…

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. for which values of θ in the interval -3π ≤ θ ≤ 3π is the function y = sin θ equal to 0? θ = 0, π, 2π θ = 0, 2π θ = - 2π, 0, 2π θ = - 3π, - 2π, - π, 0, π, 2π, 3π

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. for which values of θ in the interval -3π ≤ θ ≤ 3π is the function y = sin θ equal to 0? θ = 0, π, 2π θ = 0, 2π θ = - 2π, 0, 2π θ = - 3π, - 2π, - π, 0, π, 2π, 3π

Answer

Explanation:

Step1: Recall sine - zero property

The sine function $y = \sin\theta=0$ when $\theta = k\pi$, where $k\in\mathbb{Z}$ (the set of integers).

Step2: Find values in given interval

We need to find values of $\theta$ in the interval $- 3\pi\leq\theta\leq3\pi$. When $k=-3,\theta=-3\pi$; when $k = - 2,\theta=-2\pi$; when $k=-1,\theta =-\pi$; when $k = 0,\theta = 0$; when $k = 1,\theta=\pi$; when $k = 2,\theta = 2\pi$; when $k = 3,\theta=3\pi$.

Answer:

$\theta=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi$