Question

How do you find the general solutions for `sec(x) = - 4`?

Answer 1

`x = 104^@48 + k360^@`
`x = 255^@52 + k360^@`

Explanation:

`cos x = 1/sec x = - 1/4 = - 0.25`
Calculator and unit circle give:
`cos x = - 0.25` -->
`x = +- 104^@48 + k360^@`
Note.
`x = - 104^@48` is co-terminal to `x = 360 - 104.48 = 255^@52`