How's the rule go on evaluating compositions of functions? Is it that sine is positive in first and second quadrants, while cos/tan are positive in the first and the fourth?

Answer 1

"Is it that sine is positive in first and second quadrants, while cos/tan are positive in the first and the fourth? "
The answer is yes whether it is related to the evaluation of composition of functions or not.
Can you post an example to clarify the context of the first question?