(sin10度+sin20)/(cos10+cos20)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 04:46:57
(sin10度+sin20)/(cos10+cos20)

(sin10度+sin20)/(cos10+cos20)
(sin10度+sin20)/(cos10+cos20)

(sin10度+sin20)/(cos10+cos20)
把10°变为15°-5°,20°=15°+5°;展开合并得:
(sin10°+sin20°)/(cos10°+cos20°)=2sin15°cos5°/2cos15°cos5°=2sin^215°/2sin15°cos15°
=(1-cos30°)/sin30°=2-根号3

把10°变为15°-5°,20°=15°+5°;
展开合并得:
(sin10°+sin20°)/(cos10°+cos20°)
=2sin15°cos5°/2cos15°cos5°
=2sin^215°/2sin15°cos15°
=(1-cos30°)/sin30°
=2-根号3