Math  /  Trigonometry

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

Studdy Solution
Identify the quadrant where both sin(t)<0\sin(t) < 0 and cos(t)>0\cos(t) > 0. - Since sin(t)\sin(t) (y-coordinate) is negative and cos(t)\cos(t) (x-coordinate) is positive, the terminal point must be in Quadrant IV.
Summary: (a) sin(t)<0\sin (t)<0 and cos(t)<0\cos (t)<0, quadrant III (b) sin(t)>0\sin (t)>0 and cos(t)<0\cos (t)<0, quadrant II (c) sin(t)>0\sin (t)>0 and cos(t)>0\cos (t)>0, quadrant I (d) sin(t)<0\sin (t)<0 and cos(t)>0\cos (t)>0, quadrant IV

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