cos(a+π/3)=sin(a-π/3),tana为多少啊

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 17:18:05

cos(a+π/3)=sin(a-π/3),tana为多少啊
cos(a+π/3)=sin(a-π/3),tana为多少啊

cos(a+π/3)=sin(a-π/3),tana为多少啊
cos(a+π/3)=sin(a-π/3)
cosacosπ/3-sinasinπ/3=sinacosπ/3-cosasinπ/3
cosacosπ/3+cosasinπ/3=sinacosπ/3+sinasinπ/3
cosa(cosπ/3+sinπ/3)=sina(cosπ/3+sinπ/3)
所以
cosa=sina
tana=1

(a+π/3)+(a-π/3)=π/2+2kπ
所以a=π/4+kπ
tana=1

望采纳