4/5tan²60 + 3sin²60

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Solution

Sin 60 =root3/2
Sin^2(60)=(root 3/2)×(root 3/2)=3/4
Tan 60=root 3
so tan^2 (60)=root 3×root 3=3
so 4/5 tan^2(60)+3sin^2(60)
=(4/5)×3+3×3/4
=12/5+9/4
=(12×4+5×9)/5×4
=93/20

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