已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 11:29:00
已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值c

已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值
已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值

已知cosa=1/3,a∈(0,π)则cos(3/2π+2a)的值
cos(3/2π+2a)
= cos(3/2π+2a-2π)
=cos(2a-π/2)
=cos(π/2-2a)
=sin2a
=2cosasina
=2*1/3*√(1-1/3²)
=4/9√2