cos (π/12) × cos(5×π/12)的值

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cos(π/12)×cos(5×π/12)的值cos(π/12)×cos(5×π/12)的值cos(π/12)×cos(5×π/12)的值cos(15)*cos(5*15)=cos(45-30)*co

cos (π/12) × cos(5×π/12)的值
cos (π/12) × cos(5×π/12)的值

cos (π/12) × cos(5×π/12)的值
cos(15)*cos(5*15)
=cos(45-30)*cos(45+30)
=(cos45*cos30+sin45*sin30)(cos45cos30-sin45*sin30)
=(cos45cos30)^2-(sin45*sin30)^2
=(根号2/2*根号3/2)^2-(根号2/2*1/2)^2
=(1/2*3/4)-(1/2*1/4)
=3/8-1/8
=1/4