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Complex Plane

Source: 1989 National High School Mathematics League, Exam One, Problem 1

February 25, 2020

Problem Statement

On complex plane, if A,BA,B are two angles of acute triangle ABCABC, then the point z=(cos⁡B−sin⁡A)+i(sin⁡B−cos⁡A)z=(\cos B-\sin A)+\text{i}(\sin B-\cos A) corresponding to is in (A)\text{(A)}Quadrant I (B)\text{(B)}Quadrant II (C)\text{(C)}Quadrant III (D)\text{(D)}Quadrant IV
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