If tan(theta) < 0, it means that the sine(theta) < 0 and cosine(theta) > 0. This indicates that the angle lies in either the third or the fourth quadrant.
If sec(theta) > 0, it means that cosine(theta) > 0 and therefore, the angle lies in either the first or the fourth quadrant.
Considering both conditions, we can conclude that the angle lies in the fourth quadrant.
Determine the quadrant for an angle with the following characteristics: tan theta<0 and sec theta >0
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