SEAMO 2027 - Paper E - SET 02 - Self-study Question 23

Evaluate $$\frac{\cos^4 75^\circ+\sin^4 75^\circ+3\sin^2 75^\circ\cos^2 75^\circ}{\cos^6 75^\circ+\sin^6 75^\circ+4\sin^2 75^\circ\cos^2 75^\circ}.$$