sin^2 30+sin^2 45+sin^2 60+sin^2 90
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=sin^2 30+sin^2 45+sin^2 60+sin^2 90
= (1/√2)²+(1/2)²+(√3/2)²+(1)²
=(1/2)+(1/4)+(3/4)+1
=10/4
=5/2
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