at which x - value does the cosine function attain a maximum value?\no x = 0\no x = \\frac{\\pi}{2}\no x =…

at which x - value does the cosine function attain a maximum value?\no x = 0\no x = \\frac{\\pi}{2}\no x = 1\no x = \\frac{3\\pi}{2}

at which x - value does the cosine function attain a maximum value?\no x = 0\no x = \\frac{\\pi}{2}\no x = 1\no x = \\frac{3\\pi}{2}

Answer

Explanation:

Step1: Recall cosine - function properties

The general form of the cosine function is $y = \cos(x)$. The range of the cosine function is $[- 1,1]$, and $\cos(x)=1$ is the maximum value of the cosine function.

Step2: Find the x - values for maximum

We know that $\cos(x)=1$ when $x = 2k\pi$, where $k\in\mathbb{Z}$ (the set of all integers). When $k = 0$, $x = 0$.

Answer:

A. $x = 0$