已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 06:59:44
已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?已知sinα(x
已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?
已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?
已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?
(x+π/6)+(5π/6-x)=π,(x+π/6)+(π/3-x)=π/2
根据诱导公式:
sin(5π/6-x)=sin[π-(x+π/6)]=sin(x+π/6)=1/4
sin^2(π/3-x)=sin^2[π/2-(x+π/6)]=cos^2(x+π/6)=1-sin^2(x+π/6)=1-1/16=15/16
所以sin(5π/6-x)+sin^2(π/3-x)=1/4+15/16=19/16
sin²(5π/6-x)+sin²(π/3-x)=-sin(x-5π/6)+cos(X+π/6)=sinπ+(x-5π/6)+cos(X+π/6)
=sinα²(x+π/6)+cos²(X+π/6)=1
已知sinα(x+π/6)=1/4,则sin(5π/6-x)+sin(π/3-x)的平方=?
已知sin(π/4+x)sin(π/4-x)=1/6,x(π/2,π),则sin4x=?
已知sin(x+π/6)=1/4,求sin(5π/6-x)+sin^2(π/3-x)
已知sin(π/2-x)+sin(π-x)/cos(-x)+sin(2π-x)=2009,则tan(x+5π/4)等于?已知sin(π/2-x)+sin(π-x)/cos(-x)+sin(2π-x)=2009,则tan(x+5π/4)等于() A.-2009 B.-1/2009 C.1/2009 D.2009
已知sin(x+π/6)=1/4,求sin(5π/6-x)+sin^2(11π/6-x)如题,
已知sin(x+π÷6)=1/4,则sin(5π/6-x)+cos^2(π/3-x)=
已知函数f(x)=(1+1 anx)sin^2x+m sin(x+π/4)sin(x-π/4)
1.已知tan(π+α)=3,则sin(π+α)×cos(π-α)= 2.已知sinα=根号5/5,则sinα的四次方-cosα的四次方=3..函数f(x)=sinπX/4,则f(1)+f(2)+...+f(2012)=4.已知sinα=1/3,则sinα的4次方-sinα的2次方+cosα的平方=
已知sin(x+π/6)=1/3,则sin(5/6π-x)+cos2(π/3-x)=?
已知sin(x+π/3)=1/4,求sin(2π/3-x)+cos²(π/6-x)
已知cos(x+π/6)=1/4,则sin(π/6-2x)=
已知sin(x+π/6)=1/3,求sin(5π/6-x)+sin^2(π/3-x)
已知 Sin(X+ 派/6)=1/4求 Sin(5/6派 - X)+Sin^2 (派/3 -X)
已知sin(π/6-α)=1/4,则sin(π/6+2α)=(),
已知sin(π/4+x)sin(π/4-x)=1/6,x属于(π/2,π),求sin4x的值
已知sin(x+π/6)=1/3,则sin(5π/6-x)+sin平方(π/3-x)的值是,
已知sin(x+π/6)=1/4,.求sin(7π/6+x)+cos2(5π/6-x)的值
已知sin(x+π/6)=1/4,.求sin(7π/6+x)+cos2(5π/6-x)的值急急急