If t is any real number, it is possible that sin t = .3 and cos t = .48.

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.
 
 It is not possible for the same value of t to be met: sin t = .3 and cos t = .48