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 properties

The sine function (y = \sin(x)) has a value of (0) at (x = 0,\pm\pi,\pm2\pi,\pm3\pi,\cdots).

Step2: Express zeros in general form

The general form of the zeros of the sine - function is (x=k\pi), where (k\in\mathbb{Z}) ( (k) is any integer). When (k = 0), (x = 0); when (k = 1), (x=\pi); when (k=- 1), (x =-\pi) and so on.

Answer:

(k\pi) for any integer (k)