求y=sin(x/2+派/6)+sin(x/2-派/3)的一条对称轴方程

问题描述:

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∈Zx=7π/6+2kπ,k∈Z对称轴方程x...