f(x)=sin(x+π/3)+asin(x-π/6),x=π/2是其一条对称轴,求a值

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f(x)=sin(x+π/3)+asin(x-π/6),x=π/2是其一条对称轴,求a值

f(x)=sin(x+π/3)+asin(x-π/6),x=π/2是其一条对称轴,求a值
f(x)=sin(x+π/3)+asin(x-π/6),x=π/2是其一条对称轴,求a值

f(x)=sin(x+π/3)+asin(x-π/6),x=π/2是其一条对称轴,求a值
因为对称轴是二分之π 所以f(0)=f(π) sin(π/3)-asin(π/6)=-sin(π/3)+a(5π/6) √3/2-a1/2=-√3/2+1/2a a=√3