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Explanation & Answer
(a) sec(t) > 0 <=> cos(t) > 0, then sin(t) = cos(t)/cot(t) < 0.
cos(t) > 0, sin(t) < 0 in 4th quadrant.
(b) csc(t) < 0 <=> sin(t) < 0, cos(t) = sin(t)/tan(t) < 0.
cos(t) < 0 and sin(t) < 0 in 3rd quadrant.
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