Evaluate x and y from the given figure.

Without using trigonometric table, find the values of:

(i) sin 60° cos 30° + cos 60° sin 30°

(ii) sin 45° cos 30° - cos 45° sin 30°

(iii) cos 60° cos 45° + sin 60° sin 45°

(iv) cos 90° + cos² 45° sin 30° tan 45°