How would I sketch the following equation/tan graph:

y = −tan [1/4 (x − π)], 0 ≤ x ≤ π


1 Answer

Best answer

The graph of the equation listed above would look like:

Graph of y = -tan[1/4 (x - pi)]

Source: y = -tan(1/4(x-n)) (Wolfram Alpha)

I haven't limited the domain to 0 ≤ x ≤ π as per your original equation but that should be fairly straight forward to work out.

When sketching trigonometric functions and their graphs (and in particular, tan) - it's a good idea to keep in mind some of the rules/concepts:

Recall that tan x = sin x/cos x, so tangent functions with the rule y = tan x does not exist when cos x = 0 (since the denominator is 0 and division by zero is undefined. Hence, there are asymptotes wherever cos x = 0.

Hope that helps.