(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?

(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)
=(cosπ/12 - sinπ/12)(sinπ/12 + cosπ/12)
=cos²(π/12) - sin²(π/12)
=cos(π/6)
=(radical 3) / 2

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