Final answer:
t is in the interval π/2, cos(t) must be negative. The value of cos(t) is approximately -0.96. None of the options are correct.
Step-by-step explanation:
To find the value of cos(t), we can use the identity cos^2(t) + sin^2(t) = 1. Since we are given sin(t) = 7/25, we can substitute this into the identity to solve for cos(t).
cos^2(t) + (7/25)^2 = 1
cos^2(t) = 1 - (7/25)^2
cos(t) = ± sqrt(1 - (7/25)^2)
cos(t) ≈ ± 0.96
Since t is in the interval π/2, cos(t) must be negative. Therefore, the value of cos(t) is approximately -0.96. Hence the correct option is not mentioned.