f(x)=sin(90度+x)cosx-sinxcos(180度-x)
=cos^2x+sinxcosx
=(1+cos2x)/2+1/2sin2x
=√2/2sin(2x+π/4)+1/2
A为锐角,f(A)=1
√2/2sin(2A+π/4)=1/2
sin(2A+π/4)=√2/2
2A=π/2 A=π/4
正弦定理
BC/sinA=AC/sinB
2/(√2/2)=AC/(√3/2)
AC=√6
f(x)=sin(90度+x)cosx-sinxcos(180度-x)
=cos^2x+sinxcosx
=(1+cos2x)/2+1/2sin2x
=√2/2sin(2x+π/4)+1/2
A为锐角,f(A)=1
√2/2sin(2A+π/4)=1/2
sin(2A+π/4)=√2/2
2A=π/2 A=π/4
正弦定理
BC/sinA=AC/sinB
2/(√2/2)=AC/(√3/2)
AC=√6