﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 07:05:12
﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚=

﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚=
﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚=

﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚=
﹙sin35°-sin25°﹚/﹙cos35°-cos25°﹚
={2cos[(35°+25°)/2]sin[(35°-25°)/2]}/{-2sin[(35°+25°)/2]sin[(35°-25°)/2]}
=-cos30°/sin30°
=-√3

因为
sin35°-sin25° = sin(30°+5°)-sin(30°-5°)= 2*cos* 30°*sin*5°
cos35°-cos25° = cos(30°+5°)-cos(30°-5°)= - 2*sin30°sin5°
所以
(sin35°-sin25°)/ (cos35°-cos25°)
= -√3