Question 847501
csc(x) = sin(1/x)

1/sin(x) = sin(1/x)

This implies that 1 = sin(x) * sin(1/x)

Since sin(x) ranges from -1 to 1 and sin(1/x) ranges from -1 to 1, the only possible multiplication is if sin(x)= 1 and sin(1/x)= 1

Well if sin(x) = 1, then we find x = pi/2 or 90 degrees.

However when we plug this same x value back into sin(1/x):

sin(2/pi) does not = 1. It equals .594.

Since our only possible situation did not pan out, it is safe to assume that there is NO SOLUTION that satisfies this.