计算:sinA²1°+sin²3°+sin²5°+...+sin²87°+sin²89°=

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计算:sinA²1°+sin²3°+sin²5°+...+sin²87°+sin²89°=

原式=(sin²1+cos²1)+……+(sin²43+cos²43)+sin²45
=1+……+1+1/2
=45/2