cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15
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cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15
=[sinπ/15*cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/sinπ/15
=[(sin2π/15)cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/2sinπ/15
=[(sin4π/15)cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/4sinπ/15
=[(sin8π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin7π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin14π/15)cosπ/5cosπ/3cos2π/5]/16sinπ/15
=[cosπ/5cosπ/3cos2π/5]/16
=(cosπ/5cos2π/5)/32
因为你也没写要求化简到什么地步，所以就化简到此了。
=[sinπ/15*cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/sinπ/15
=[(sin2π/15)cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/2sinπ/15
=[(sin4π/15)cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/4sinπ/15
=[(sin8π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin7π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin14π/15)cosπ/5cosπ/3cos2π/5]/16sinπ/15
=[cosπ/5cosπ/3cos2π/5]/16
=(cosπ/5cos2π/5)/32
因为你也没写要求化简到什么地步，所以就化简到此了。
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cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15
=[sinπ/15*cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/sinπ/15
=[(sin2π/15)cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/2sinπ/15
=[(sin4π/15)cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/4sinπ/15
=[(sin8π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin7π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin14π/15)cosπ/5cosπ/3cos2π/5]/16sinπ/15
=[cosπ/5cosπ/3cos2π/5]/16
=(cosπ/5cos2π/5)/32
= (sinπ/5 cosπ/5cos2π/5)/64 sinπ/5
= (sin4π/5)/128 sinπ/5
=128
=[sinπ/15*cosπ/15cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/sinπ/15
=[(sin2π/15)cos2π/15cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/2sinπ/15
=[(sin4π/15)cosπ/5cos4π/15cosπ/3cos2π/5cos7π/15]/4sinπ/15
=[(sin8π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin7π/15)cosπ/5cosπ/3cos2π/5cos7π/15]/8sinπ/15
=[(sin14π/15)cosπ/5cosπ/3cos2π/5]/16sinπ/15
=[cosπ/5cosπ/3cos2π/5]/16
=(cosπ/5cos2π/5)/32
= (sinπ/5 cosπ/5cos2π/5)/64 sinπ/5
= (sin4π/5)/128 sinπ/5
=128
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