Question

Find sin (theta) if csc (theta) = -23/19.

Answer 1

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: