Question

If sin theta >0 and tan theta <0 then:

a. 180degree < theta < 270degree
b. 0degree < theta < 90degree
c. 90degree < theta < 180degree
d. 270degree < theta < 360degree

Answer 1

C

Step-by-step explanation:i got a 100%

Answer 2

• option c. 90° < θ < 180°

Step-by-step 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.