(i) Show that the equation \(4 \sin^4 \theta + 5 = 7 \cos^2 \theta\) may be written in the form \(4x^2 + 7x - 2 = 0\), where \(x = \sin^2 \theta\).

(ii) Hence solve the equation \(4 \sin^4 \theta + 5 = 7 \cos^2 \theta\), for \(0^\circ \leq \theta \leq 360^\circ\).