Question

in which quadrant tan theta is positive?

Answer 1

tan = y/x
what conditions that y/x yield a positive answer?

Answer 2

when both x and y are positive and also when both x and y are negative

Answer 3

Tan is sin/cos, right? Where is sin positive? Where is cos positive? Where is sin negative? Where is cos negative?

Answer 4

I think Maria fell asleep.

Answer 5

Quadrant I and III.
The best way is to use the trig unit circle. This will help you when you learn real trigonometry that is the study of the variable arc AM = x. This arc AM varies counter clockwise on the trig unit circle
On the trig unit circle, the axis T'AT define the function f(x) = tan x.
AH = tan x. There are 2 arcs AM and AM' that have the same tan value (AH).