Question

How do you find the general solutions for `cos(x) = 0.6`?

Answer 1

`2npi+-cos^(-1)(0.6)`

Explanation:

normally you can get
`x=cos^(-1)(0.6)`
using
`cos(-x)=cos(x)`
x is also `-cos^(-1)(0.6)`
Because
`cos(x+2npi)=cos(x)`(n=integer number)
general solutions for cos(x)=0.6 is
`2npi+-cos^(-1)(0.6)`

Answer 2

`x = +- 53^@13 + k360^@`

Explanation:

cos x = 0.6
Calculator and unit circle give 2 solutions for x -->
`x = +- 53^@13 + k360^@`