# How do you sketch the curve #y=cos^2x-sin^2x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts?

##### 1 Answer

Jul 26, 2017

Note that we can use the trigonometric identity:

so we know that the function has a maximum for

The inflection points are coincident with the intercepts and are in

Finally, the function is continuous for every

graph{cos(2x) [-2.5, 2.5, -1.25, 1.25]}