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to evaluate (5 cos² 60 + 4 sec² 30 - tan² 45)/sin²30 + cos²30
cos 60 = 1/2 => cos²30 = 1/4
sec 30 = 2/√3 => sec²30 = 4/3
tan 45 = 1 => tan²45 = 1
sin 30 = 1/2 => sin²30 = 1/4
cos 30 = √3/2 => cos²30 = 3/4
by substituting these values, we get
(5*1/4 + 4*4/3 - 1)/ (1/4 + 3/4)
=> (5/4 + 16/3 - 1)/1
=> (5/4 + 16/3 - 1)
=> (15 + 64 - 12)/12
=> 67/12
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