(sin10°+cos50°)/(cos10°-sin50°)?
问题描述:
(sin10°+cos50°)/(cos10°-sin50°)?
答
sin10°+cos50°=sin10°+sin40°=2sin25cos15cos10°-sin50=sin80-sin50=2cos65sin15=2sin25sin15(sin10°+cos50°)/(cos10°-sin50°)=2sin25cos15/2sin25sin15=ctg15=1/tan15=1/tg(45-30)=(1+tan45tan30)/(tan45-...