.
cos(4t) = 0 =====>
4t =
, where k is any integer k = 0, +/-1, +/-2, . . . ====>
t =
, where k is any integer k = 0, +/-1, +/-2, . . . .
Answer. The given equation has infinitely many solutions t =
+
, where k is any integer k = 0, +/-1, +/-2, . . . .