Mathematics
Senior High
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10 | 12 Sim = の値

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✨ Best Answer ✨

半角の公式の、sin^2 α/2 = (1-cosα)/2をつかいます!

sin^2 π/8 ={1-cos(π/4)}/2 変形して、

sin^2 π/8 =(1-√2/2)/2
sin^2 π/8 =(2-√2)/4
sin π/8 =±√{(2-√2)/4}

sin π/8 >0より、 sin π/8 =√(2-√2)/2 です。

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