求值Cos pai/17 *cos 2pai/17*cos 4pai/17*cos 8pai/17
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求值Cospai/17*cos2pai/17*cos4pai/17*cos8pai/17求值Cospai/17*cos2pai/17*cos4pai/17*cos8pai/17求值Cospai/17*
求值Cos pai/17 *cos 2pai/17*cos 4pai/17*cos 8pai/17
求值Cos pai/17 *cos 2pai/17*cos 4pai/17*cos 8pai/17
求值Cos pai/17 *cos 2pai/17*cos 4pai/17*cos 8pai/17
cos(π/17)cos(2π/17)cos(4π/17)cos(8π/17)
=[16sin(π/17)cos(π/17)cos(2π/17)cos(4π/17)cos(8π/17)]/16sin(π/17)
=[8sin(2π/17)cos(2π/17)cos(4π/17)cos(8π/17)]/16sin(π/17)
=[4sin(4π/17)cos(4π/17)cos(8π/17)]/16sin(π/17)
=[2sin(8π/17)cos(8π/17)]/16sin(π/17)
=sin(16π/17)/16sin(π/17)
=1/16
cosπ/17cos2π/17cos4π/17cos8π/17
=sinπ/17*cosπ/17*cos2π/17*cos4π/17*cos8π/17 / sinπ/17
=1/2*sin2π/17*cos2π/17*cos4π/17*cos8π/17 / sinπ/17
=1/4sin4π/17*cos4π/17*cos8π/17 / sinπ/17
=1/8*sin8π/17*cos8π/17 / sinπ/17
=1/16*sin16π/17 / sinπ/17
sin16π/17=sinπ/17
所以原式=1/16
求值Cos pai/17 *cos 2pai/17*cos 4pai/17*cos 8pai/17
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