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展开全部
原式=8(sin10*1/2+cos10*√3/2)/(3sin20cos20)
=8(sin10cos60+cos10sin60)/(3sin20cos20)
=8sin(10+60)/(3sin20cos20)
=8sin70/(3sin20cos20)
=8cos20/(3sin20cos20)
=8/(3sin20)
=8(sin10cos60+cos10sin60)/(3sin20cos20)
=8sin(10+60)/(3sin20cos20)
=8sin70/(3sin20cos20)
=8cos20/(3sin20cos20)
=8/(3sin20)
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