sin²1°+sin²2°+……+sin²90°=
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sin²1°+sin²2°+……+sin²90°
=(sin²1°+sin²89°)+(sin²2°+sin²88°)+··········+(sin²44°+sin²46°)+sin²45°+sin²90°
=1×44+(√2/2)²+1
=44+0.5+1
=45.5
=(sin²1°+sin²89°)+(sin²2°+sin²88°)+··········+(sin²44°+sin²46°)+sin²45°+sin²90°
=1×44+(√2/2)²+1
=44+0.5+1
=45.5
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