Question

Tan(θ) is positive when θ lies in which quadrants?

Answer 1

Tan(θ) is positive when θ lies in the first and third quadrants.

Step-by-step explanation:

Tan(θ) is positive when θ lies in the first and third quadrants. In the first quadrant (Quadrant I), both the x and y coordinates are positive, so tan(θ) is positive. In the third quadrant (Quadrant III), both the x and y coordinates are negative, but since tan(θ) is y/x, the negative signs cancel out, resulting in a positive value for tan(θ).