Step 1 :Recall that the cosine function is an even function, which means that \( \cos(-t) = \cos(t) \).
Step 2 :Given that \( \cos(t) = -\frac{2}{7} \), we can conclude that \( \cos(-t) \) should also be \( -\frac{2}{7} \).
Step 3 :Final Answer: \( \boxed{-\frac{2}{7}} \)