函数 (4 17:58:40)
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/12 17:45:18
函数 (4 17:58:40)
sin163°sin223°+sin253°+sin313°=
sin163°sin223°+sin253°+sin313°=
题目应该是
sin163°sin223°+sin253°sin313°,?
sin163°sin223°+sin253°sin313°
=-sin(180-°163°)sin(223°-180°)+sin(253°-180°)sin(360°-313°)
=-sin17°sin23°+sin73°sin47°
=-sin17°cos47°+cos17°sin47°
=sin(47°-17°)
=sin30°
=1/2
sin163°sin223°+sin253°sin313°,?
sin163°sin223°+sin253°sin313°
=-sin(180-°163°)sin(223°-180°)+sin(253°-180°)sin(360°-313°)
=-sin17°sin23°+sin73°sin47°
=-sin17°cos47°+cos17°sin47°
=sin(47°-17°)
=sin30°
=1/2