Final answer:
The terminal point determined by theta for which sin(theta) is less than 0 and cos(theta) is greater than 0 is in the fourth quadrant.
Step-by-step explanation:
If sin(theta) is less than 0 and cos(theta) is greater than 0, then the terminal point determined by theta is in the fourth quadrant.
In the context of the unit circle, each quadrant corresponds to a different combination of signs for the sine and cosine functions. In the first quadrant, both are positive. In the second quadrant, sine is positive and cosine is negative. In the third quadrant, both are negative. Finally, in the fourth quadrant, sine is negative and cosine is positive. Since sin(theta) < 0 and cos(theta) > 0, we can conclude that theta must be in the fourth quadrant, where the x-coordinates are positive and the y-coordinates are negative.