Find all solutions of the eq in the interval [0, 2𝜋) algebraically. Use the table feature of a graphing utility to check your answers numerically. (Enter your answers as a comma-separated list.)

Question

9 sec(x) csc(x) = 18 csc(x)

x =

Answer 1

9 sec(x) csc(x) = 18 csc(x)

Divide by 9csc(x)

sec(x)=2

Take reciprocal

cos(x)=1/2

cos^-1(1/2)=π/3

but it's also going to work for

2π-π/3= 5π/3

Thus, x=π/3, 5π/3 in the interval [0, 2𝜋)