It's your turn on graphs of trigonometric functions

Do your best in trying to solve the following problems. In any case some of them are solved in the video and all of them are solved in the pdf file below.

Exercise 1.

Compute the domain and the minimal period of the function (xmapsto tan(3x)) and sketch its graph.

Exercise 2.

Compare (tan x) with (tan(pi-x)), (tan(pi+x)), (tan(pi/2-x)), and (tan(pi/2+x)) whenever they are defined.