Question

Question #f6623

Answer 1

`x=frac(pi)(3)+2pin` and `x=-frac(pi)(3)+2pin`

Explanation:

Add `2` to both sides of the equation, and then divide by `4`. We get that `cos(x)=frac(1)(2)`.
On the unit circle, cosine is positive in Quadrants 1 and 4. `cos(x)=frac(1)(2)` when `x=frac(pi)(3)`, or when `x=-frac(pi)(3)`. However, the period of the cosine graph is every `2pi`, so if `n` is our integer constant, then `x=frac(pi)(3)+2pin` and `x=-frac(pi)(3)+2pin`.

If you do not want the "`-frac(pi)(3)`", this is equivalent to `frac(5pi)(3)`.