Answer: We know that csc(theta) is the reciprocal of sin(theta), so we can start by finding sin(theta) by taking the reciprocal of csc(theta):
csc(theta) = -23/19
1/sin(theta) = -23/19
We can solve for sin(theta) by taking the reciprocal of both sides:
sin(theta) = 1 / (1/sin(theta)) = 1 / (-23/19) = -19/23
Therefore, sin(theta) = -19/23.
Explanation: