Question

How do you find all solutions to the equation `cos2x=1/2`?

Answer 1

`x = pi/6 + npi`

Explanation:

cos x is a periodic function, so you expect many solutions. If `cos2x = 1/2`, which is cos (pi/3) so `2x = pi/3 + 2npi` or `x = pi/6 + npi`