cosπ/12+(根号3)×sinπ/12的值

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cosπ/12+(根号3)×sinπ/12的值

原式=2(cosπ/12*1/2+sinπ/12*√3/2)
=2(cosπ/12cosπ/3+sinπ/12sinπ/3)
=2cos(π/3-π/12)
=2sinπ/4
=2×√2/2
=√2