√3cosπ/12-sinπ/12=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/08 00:08:55
√3cosπ/12-sinπ/12=√3cosπ/12-sinπ/12=√3cosπ/12-sinπ/12=√3cosπ/12-sinπ/12=2*[cos(π/12)*(√3/2)-sin(π/12

√3cosπ/12-sinπ/12=
√3cosπ/12-sinπ/12=

√3cosπ/12-sinπ/12=
√3cosπ/12-sinπ/12
=2*[cos(π/12)*(√3/2)-sin(π/12)*(1/2)]
=2*[cos(π/12)*cos(π/6)-sin(π/12)*(sin(π/6)]
=2*cos(π/12 +π/6) (两角和的余弦公式)
=2*cos(π/4)
=√2