(cosπ/12 -sinπ/12)(cosπ/12 +sinπ/12)=

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(cosπ/12-sinπ/12)(cosπ/12+sinπ/12)=(cosπ/12-sinπ/12)(cosπ/12+sinπ/12)=(cosπ/12-sinπ/12)(cosπ/12+sinπ

(cosπ/12 -sinπ/12)(cosπ/12 +sinπ/12)=
(cosπ/12 -sinπ/12)(cosπ/12 +sinπ/12)=

(cosπ/12 -sinπ/12)(cosπ/12 +sinπ/12)=
(cosπ/12 -sinπ/12)(cosπ/12 +sinπ/12)
=cosπ/12*cosπ/12-sinπ/12*sinπ/12
=cos2*π/12
=cosπ/6
=√3/2