cos(π/9)怎么求
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方法如下:
原式=(sinπ/9cosπ/9cos2π/9cos3π/9cos4π/9)/sinπ/9,=1/2(sin2π/9cos2π/9cos3π/9cos4π/9)/sinπ/9,=1/4(sin4π/9cos3π/9cos4π/9)/sinπ/9。
=1/8(sin8π/9cos3π/9)/sinπ/9,=1/8(sinπ/9cosπ/3)/sinπ/9,(sin8π/9=sin(π-π/9),=1/8cosπ/3,=1/16。
原式=(sinπ/9cosπ/9cos2π/9cos3π/9cos4π/9)/sinπ/9,=1/2(sin2π/9cos2π/9cos3π/9cos4π/9)/sinπ/9,=1/4(sin4π/9cos3π/9cos4π/9)/sinπ/9。
=1/8(sin8π/9cos3π/9)/sinπ/9,=1/8(sinπ/9cosπ/3)/sinπ/9,(sin8π/9=sin(π-π/9),=1/8cosπ/3,=1/16。
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