化简:2(sinA)^2(sinB)^2+2(cosA)^2(cosB)^2-cos2A(cosB)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 13:23:50

化简:2(sinA)^2(sinB)^2+2(cosA)^2(cosB)^2-cos2A(cosB)^2
化简:2(sinA)^2(sinB)^2+2(cosA)^2(cosB)^2-cos2A(cosB)^2

化简:2(sinA)^2(sinB)^2+2(cosA)^2(cosB)^2-cos2A(cosB)^2
2(sinA)^2(sinB)^2+2(cosA)^2(cosB)^2-cos2A(cosB)^2=
2(sinA)^2(sinB)^2+(cosB)^2*(2(cosA)^2-cos2A)=
2(sinA)^2(sinB)^2+(cosB)^2=
2(sinA)^2(sinB)^2+1-(sinB)^2=
1+(sinB)^2*(2(sinA)^2-1)=
1-(sinB)^2(cos2A)