which formula gives the zeros of y = sin(x)?\n○ kπ for any positive integer k\n○ kπ for any integer k\n○…

which formula gives the zeros of y = sin(x)?\n○ kπ for any positive integer k\n○ kπ for any integer k\n○ $\frac{kpi}{2}$ for any positive integer k\n○ $\frac{kpi}{2}$ for any integer k

which formula gives the zeros of y = sin(x)?\n○ kπ for any positive integer k\n○ kπ for any integer k\n○ $\frac{kpi}{2}$ for any positive integer k\n○ $\frac{kpi}{2}$ for any integer k

Answer

Explanation:

Step1: Recall sine - function property

The sine function (y = \sin(x)) has a value of 0 when (x) is an integer multiple of (\pi). That is, (\sin(x)=0) when (x = k\pi), where (k\in\mathbb{Z}) (the set of all integers). This is because the sine function represents the (y) - coordinate on the unit - circle, and the (y) - coordinate is 0 at (x = 0,\pm\pi,\pm2\pi,\cdots).

Answer:

(k\pi) for any integer (k)