From the information given, find the quadrant in which the terminal point determined by \(t\) lies. Input I, II, III, or IV. (a) \(\sin(t) < 0\) and \(\cos(t) < 0\), quadrant (b) \(\sin(t) > 0\) and \(\cos(t) < 0\), quadrant (c) \(\sin(t) > 0\) and \(\cos(t) > 0\), quadrant (d) \(\sin(t) < 0\) and \(\cos(t) > 0\), quadrant
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