Question

How do you find the general solutions for `sec4x=2`?

Answer 1

Solve sec 4x = 2

Ans: x = `+- pi/12`

Explanation:

`sec (4x) = 1/(cos 4x) = 2` --> `cos 4x = 1/2`
`cos 4x = 1/2` --> `4x = +- pi/3` --> `x = +- pi/12`