Simplify the equation algebraically as much as possible Then

Simplify the equation algebraically as much as possible. Then use a calculator to find the solutions on the interval [0, 2). (Enter your answers as a comma-separated list. Round your answers to four decimal places.) csc2(x) 4 csc(x) 5 = 0

Solution

csc^2(x) 4 csc(x) 5 = 0

Let csc(x) = y

then y^2 - 4y - 5 = 0

y = 5, -1

Now y = csc x = 5 ==========> x = 11.54, 168.46

and y = csc x = -1 ==========> x = -90, 270