Question

How do you find the general solutions for `4cos^2 (x) - 3 = 0`?

Answer 1

Use algebra

Explanation:

`4 cos^2 x - 3 = 0`
`cos^2 x = 3/4`
`cos x = pmsqrt(3)/2`
`x = pi/3 + kpi, (2pi)/3 +kpi`
`x = pi/3 (1 + 3k), pi/3 (2+3k), k in ZZ` (i.e. `k` is an integer)