已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2 (5π/6-x)的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 15:00:53
已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2(5π/6-x)的值已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2(5π/6-x)的值已知:sin(x

已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2 (5π/6-x)的值
已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2 (5π/6-x)的值

已知:sin(x+π/6)=1/4,求sin(x+7π/6)+cos^2 (5π/6-x)的值
sin(x+7π/6)=sin(x+π/6+π)=-1/4
sin(5π/6-x)=:sin(x+π/6-π)=-1/4
cos^2 (5π/6-x)=1-1/16=15/16
sin(x+7π/6)+cos^2 (5π/6-x)=11/16