Find all exact solutions on the interval 0 ≤ x < 2π. (Enter your answers as a comma-separated list.) csc2(x) − 3 = −1

Answer 1

Recall: 1 + cot²x = csc²x

Since csc²x - 3 = -1, (1 + cot²x) - 3 = -1.

cot²x = 1

cot²x = 1 or -1 (-1 is not possible)

tanx = 1 So, x = pi/4 or 5(pi)/4