Final answer:
The question seems to have a typo, but interpreting it to ask which quadrant the angle (3π)/(2) is in, the answer is the fourth quadrant on the unit circle.
Step-by-step explanation:
The question appears to have a typo or misunderstanding in it. The expression cos(t)=(3π)/(2) could be mistaken, as the cosine function outputs a value between -1 and 1, while (3π)/(2) is an angle (in radians), not a possible cosine value. However, if we're asking which quadrant the angle t=(3π)/(2) corresponds to on the unit circle, the answer is the fourth quadrant. In the unit circle, angles are typically measured from the positive x-axis, and the angle (3π)/(2) radians corresponds to a point on the unit circle that is directly below the origin, which falls in the fourth quadrant where the x-values are positive and the y-values are negative.