Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.)

Question

sec(x) = √2

x =

Answer 1

sec(x) = √2

sec(x) = 1/cos(x)

1/cos(x) = √2

cos(x) = 1/√2

x = arccos(1/√2) => 45° or 315°

Answer: x = 45° or 315°