Hello, I'm new here and this is my first post, but let me get right to the problem.

I have several functions to graph. Explanations are appreciated, I'm not looking to just get answers.

1.) y = tan (2$\displaystyle \theta$ + $\displaystyle \pi$) + 1

2.) y = cot ($\displaystyle \theta$/2 - $\displaystyle \pi$/2) - 2

3.) y = csc $\displaystyle \theta$ + 3

4.) y = sec ($\displaystyle \theta$/3 + $\displaystyle \pi$) - 1

Any help is appreciated. Thank you.