Question

How do you graph `y=cosx+tan(2x)`?

Answer 1

Socratic graph for two periods `2pi` is inserted.

Explanation:

The period of cos x is `2pi` and the period of tan (2x) is `pi/2`.

So, the period of cos x + tan 2x is `2pi`.

x = an odd mutiple of `pi/2` is an asymptote, in both directions

`uarr and darr`.

The inserted graph is for a double period `x in [-2pi, 2pi]`

x = 0 is the divider, for this double-period graph.

y-intercept is 0.752, nearly, from cos x + tan (2x) = 0.

graph{cos x + tan (2x) [-6.28, 6.28, -5, 5]}