.
csc(3t) = 2 literally means
= 2 and is equivalent to
sin(3t) =
.
It has infinitely many solutions in terms of 3t
3t =
+
, where k is any integer k = 0, +/-1, +/-2, . . .
or, in terms of t
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, . . .