Question

Finding points of intersection: Graph the function$y=\frac{1}{2}+\cos xandy=\frac{1}{2}-\cos x$find all points of intersection

Short answer

The point of intersection is$(\frac{n\pi }{2},\frac{1}{2})$.

The graph of the functions can be given as

Step-by-step solution

Given information

We are given two function$y=\frac{1}{2}+\cos xandy=\frac{1}{2}-\cos x$

Plot the graph of the function

The graph of the function can be given as

Find the points of intersection 

From the graph the points of intersection can be given as

$\left(\right(2n+1)\pi ,\frac{1}{2})$