if sin > 0 and cos < 0 then the angle theta is in what quadrant
yeah, yeah -- all that stuff means the angle is in QII, which was what they asked.
Apologies for the previous response. You are correct. If sin > 0 and cos < 0, it means that the angle theta is in the second quadrant (QII), which is between 90° and 180°.
If sin > 0 and cos < 0, it means that the sine of the angle theta is positive and the cosine of the angle theta is negative.
In the Cartesian coordinate system, when both the sine and cosine are positive, the angle theta is in the first quadrant (0° < theta < 90°). However, if the sine is positive and the cosine is negative, the angle theta is in the second quadrant (90° < theta < 180°).