Question

Suppose it is known that 0≤sin(t)≤3/7 and that cos(t)<0. What can be concluded about cos(t)?

Answer 1

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.