which formula gives the x - coordinates of the maximum values for y = cos(x)?\no kπ for any integer k\no kπ…

Explanation:

Step1: Recall cosine function properties

The cosine function $y = \cos(x)$ has a range of $[- 1,1]$. The maximum value of $\cos(x)$ is $1$.

Step2: Find when cosine reaches maximum

We know that $\cos(x)=1$ when $x = 2k\pi$, where $k\in\mathbb{Z}$ (the set of all integers). This can also be written as $k\pi$ for $k = 0,\pm2,\pm4,\cdots$ since when $k$ is an even - integer, we get the values of $x$ for which $\cos(x)$ is at its maximum.

Answer:

$k\pi$ for $k = 0,\pm2,\pm4,\cdots$