Graph y = tan x on your calculator. Use Radian mode with - 2 x

Question:

Graph y = tan x on your calculator. Use Radian mode with - 2π ≤ x ≤ 2π and - 5 ≤ y ≤ 5.
a. What happens at x = π/2? Explain why this is so, and name other values when this occurs.
b. What is the period of y = tan x?
c. Explain, in terms of the definition of tangent, why the values of tan π/5 and tan 6π/5are the same.
d. Carefully graph two cycles of y = tan x on paper. Include vertical asymptotes at x-values where the graph is undefined.