fx=sin(x-30°)+1/2=11/10
sin(x-30°)=3/5
∴cos(x-30°)=4/5
也可以求cosx
cosxcos30+sinxsin30=4/5
cosx√3/2+sinx1/2=4/5
sinx+√3cosx=8/5 ①
sinxcos30-cosxsin30=3/5
sinx√3/2-cosx1/2=3/5
√3sinx-cosx=6/5 ②
由①②可得
cosx=(√3-1)/5
fx=sin(x-30°)+1/2=11/10
sin(x-30°)=3/5
∴cos(x-30°)=4/5
也可以求cosx
cosxcos30+sinxsin30=4/5
cosx√3/2+sinx1/2=4/5
sinx+√3cosx=8/5 ①
sinxcos30-cosxsin30=3/5
sinx√3/2-cosx1/2=3/5
√3sinx-cosx=6/5 ②
由①②可得
cosx=(√3-1)/5