Respuesta :
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
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.