Answer:
- option c. 90° < θ < 180°
Explanation:
The sign of the trigonometric functions are related with the quadrant on which the terminal sideof the angle lays.
You can use the unit circle to find such relation:
Quadrant   Angle measure    y-coordinate    x-coordinate
               θ            sen θ           cos θ       tan θ
        Â
I             0 < θ < 90°      positive         positive     positive
II            90° < θ < 180°    positive         negative     negative
III            180° < θ < 270°   negative         negative     positive
IV           270° < θ < 360°   negative        positive     negative
sin θ > 0 (positive) and tan θ < 0 (negative) is the condition described in the second row of the previous table, then it is the quadrant II and 90° < θ < 180°, which is the option c.
