The first thing to do is to clear t from both expressions and compare the value to verify if it is the same:
Expression 1:
sin t = .3
t = arcsin (0.3)
t = 0.3047
Expression 2:
cos t = .48
t = arccos (0.48)
t = 1.0701
Both expressions have a different value of t, therefore, both expressions do not satisfy the same number t.
answer:
It is not possible for the same value of t to be met: sin t = .3 and cos t = .48