Presuming the usual Cartesian coordinate and polar coordinate systems, all sine > 0 lie in the upper quadrants and all cosine < 0 lie in the left quadrants. So when we have sine > 0 AND cosine < 0, that puts the result in quadrant II, which lies between 180 and 090 degrees. ANS.
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pi/2 < Ѳ < pi
Second quadrant
Presuming the usual Cartesian coordinate and polar coordinate systems, all sine > 0 lie in the upper quadrants and all cosine < 0 lie in the left quadrants. So when we have sine > 0 AND cosine < 0, that puts the result in quadrant II, which lies between 180 and 090 degrees. ANS.