graph (g(x)=4cos x). use 3.14 for (pi). use the sine tool to graph the function. graph the function by…

graph (g(x)=4cos x). use 3.14 for (pi). use the sine tool to graph the function. graph the function by plotting two points. the first point must be on the mid - line and closest to the origin. the second point must be a maximum or minimum value on the graph closest to the first point.

graph (g(x)=4cos x). use 3.14 for (pi). use the sine tool to graph the function. graph the function by plotting two points. the first point must be on the mid - line and closest to the origin. the second point must be a maximum or minimum value on the graph closest to the first point.

Answer

Explanation:

Step1: Find the mid - line point

The mid - line of the cosine function $y = A\cos x$ is $y = 0$. For $y = 4\cos x$, when $x=\frac{\pi}{2}\approx1.57$, $g(\frac{\pi}{2})=4\cos(\frac{\pi}{2}) = 0$. So the first point is $(\frac{\pi}{2},0)\approx(1.57,0)$.

Step2: Find the maximum/minimum point

The amplitude of $y = 4\cos x$ is $A = 4$. The maximum value of $\cos x$ is 1 and minimum is - 1. The cosine function $y=\cos x$ has a maximum at $x = 0$. For $y = 4\cos x$, when $x = 0$, $g(0)=4\cos(0)=4$. So the second point is $(0,4)$.

Answer:

The two points are $(1.57,0)$ and $(0,4)$