Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π).

Question

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval [0, 2π). ​  ​

Quizplus · Accepted Answer

Using a graphing utility to graph ​y = 2cos(x) - 3sin(x), we obtain:

graph

From the graph, we can see that there are four solutions in the interval [0, 2π), which are approximately x = 1.571, 3.990, 4.712, and 5.435. These correspond to the four points of intersection between the graph of y = 2cos(x) - 3sin(x) and the x-axis.

Therefore, the best choice is C.

Use a Graphing Utility to Approximate the Solutions (To Three