求y=sin(x/2+派/6)+sin(x/2-派/3)的一条对称轴方程

y=sin(x/2+π/6)+sin(x/2-π/3)
=sin(x/2-π/3+π/2)+sin(x/2-π/3)
=cos(x/2-π/3)+sin(x/2-π/3)
=√2sin(x/2-π/3+π/4).辅助角公式
=√2sin(x/2-π/12)
对称轴是x/2-π/12=π/2+kπ,k∈Z
x=7π/6+2kπ,k∈Z
对称轴方程x=7π/6+2kπ,k∈Z
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