sin(a-b)*cos a-cos(a-b)*sin a=1/5,则cos 2b的值是

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 02:33:04
sin(a-b)*cos a-cos(a-b)*sin a=1/5,则cos 2b的值是

sin(a-b)*cos a-cos(a-b)*sin a=1/5,则cos 2b的值是
sin(a-b)*cos a-cos(a-b)*sin a=1/5,则cos 2b的值是

sin(a-b)*cos a-cos(a-b)*sin a=1/5,则cos 2b的值是
sin(a-b)*cos a-cos(a-b)*sin a=1/5,
sin(a-b-a)=1/5
sin(-b)=1/5
所以
sinb=-1/5
cos(2b)=1-2sin²b=1-2*(-1/5)²=23/25

sin(a-b)*cos a-cos(a-b)*sin a=1/5=sin(a-b-a)=sin(-b)=-sinb
sinb=-1/5
cos2b=1-2sin^2b
=1-2*(-1/5)^2
=23/25

sin(a-b)*cos a-cos(a-b)*sin a=sin(a-b-a)=-sin b=1/5,sin b=-1/5,sin b 的平方=1/25 ,cos b的平方=24/25
cos 2b=cos b的平方-sin b的平方=24/25-1/25=23/25