cos5/12πcosπ/12+cosπ/12sinπ/6=?

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cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12

cos5/12πcosπ/12+cosπ/12sinπ/6=?
cos5/12πcosπ/12+cosπ/12sinπ/6=?

cos5/12πcosπ/12+cosπ/12sinπ/6=?
cos5/12πcosπ/12+cosπ/12sinπ/6
=cosπ/12(cos5/12π+sinπ/6)
=cosπ/12(cos(π/2-π/12)+sinπ/6)
=cosπ/12(sin(π/12)+2*sin(π/12)*cos(π/12))
=sin(π/12)*cos(π/12)*(1+2*cos(π/12))
=1/2*sin(π/6)*(1+2*cos(π/12))
=1/4*(1+2*cos(π/12))