Answer:

3

Step-by-step explanation:

tan2 60 + Cos2 30 / Sin2 30 + Cos2 60

tan 60 = √3

cos 30 = √3/2

sin 30 = 1/2

cos 60 = 1/2

= (√3)2 + (√3/2)2 / (1/2)2 + (1/2)2

= 3 + (√3)2/(2)2 + 1/4 + 1/4

= (3+3 / 4 ) / (1/4 + 1/4)

= (6 / 4) / (1/4 + 1/4)

= 6 / 4) / ( 1+1 /4 )

= ( 3/2 ) / ( 2/4)

= (3/2) / ( 1/2)

= 3/1

= 3

Answer:

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Step-by-step explanation:

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