(sin² 45 sin² 60 + cos²45 cos²60) / tan 30 tan 60
= ( (√2/2)² (√3/2)² + (√2/2)² (1/2)² / (√3/3) √3
= ((2/4 x3/4) + (2/4 x 1/4)) / 1
= 6/16 + 2/16
= 8/16
= 1/2
(sin² 45 sin² 60 + cos²45 cos²60) / tan 30 tan 60
= ( (√2/2)² (√3/2)² + (√2/2)² (1/2)² / (√3/3) √3
= ((2/4 x3/4) + (2/4 x 1/4)) / 1
= 6/16 + 2/16
= 8/16
= 1/2