How do you graph tan squared x? - Answers

To graph ( \tan^2(x) ), start by plotting the basic ( \tan(x) ) function, noting its vertical asymptotes at ( x = \frac{\pi}{2} + n\pi ) (where ( n ) is an integer). Since ( \tan^2(x) ) represents the square of the tangent function, it will only take non-negative values and will exhibit a parabolic shape between each pair of asymptotes. The graph will have zeros at ( x = n\pi ) and will approach infinity as it nears the vertical asymptotes. Finally, the graph is periodic with a period of ( \pi ).