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cos 30 = sin 60 = 1/2√3
tan 30 = 1/√3
tan 60 = √3
(cos 45. cos 30 + sin 45 . sin 60 ) / (tan 30. tan 60)=
= (1/2 √2 . 1/2√3 ) + (1/2√2 . 1/2√3) / ( 1/√3)(√3)
= { 1/4 √6 + 1/4 √6) / (√3/√3)
= 1/2 √6