Question

Finding points of intersection: Graph the function $y=1+\sin xandy=\cos x$and find all the points of intersection

Short answer

The point of intersection are$(2n\pi ,1)$where n is an integer

Where the graph of the function can be given as

Step-by-step solution

Given information

We are given two functions$y=1+\sin xandy=\cos x$

Plot the graph

The graph can be given as

Find the point of intersection

The point of intersection from the graph can be given as

every point of the form$(2n\pi ,1)$where$n\in Z$