Final answer:
Based on the given information, cos(t) can be concluded to be negative.
Step-by-step explanation:
Based on the given information, we know that 0≤sin(t)≤3/7 and cos(t)<0. Since the range of sine is between -1 and 1, and the given range is smaller than that, we can conclude that -1≤sin(t)≤3/7.
Since cosine is negative and cosine is the ratio of the adjacent side to the hypotenuse in a right triangle, we can conclude that the adjacent side must be negative. Therefore, we can conclude that cos(t) is negative.