Please Help With These Trig Questions On Determining The Sign For The Following Functions.

[alexamavizca]

Number 10 is the one I need help with most. I don't know how to determine the sign and would like an explanation of how to do it in order to be prepared for my future exams and quizzes.

Thank you in advance.

 

[Harry_the_cat]

10) If theta is in the interval (270, 360) what interval is (theta +180) in?
What quadrant is this?
What is the sign of tan in this quadrant? (Since cot is the reciprocal of tan, the sign of cot will be the same as the sign of tan.)

Let us know your answer.

 

[Pedja]

Hint: Use unit circle.