根号【4-2tan(-37π/6)+tan(-43π/6)的平方+3sin(-17π/2)】
=根号【4-2tan(-π/6)+tan(-5π/6)的平方+3sin(-π/2)】
=根号【4+2tan(π/6)+tan(5π/6)的平方-3】
=根号【1+2tan(π/6)+tan(π/6)的平方】
=根号【(1+tan(π/6))^2】
=1+tan(π/6)
=1+√3/3
根号【4-2tan(-37π/6)+tan(-43π/6)的平方+3sin(-17π/2)】
=根号【4-2tan(-π/6)+tan(-5π/6)的平方+3sin(-π/2)】
=根号【4+2tan(π/6)+tan(5π/6)的平方-3】
=根号【1+2tan(π/6)+tan(π/6)的平方】
=根号【(1+tan(π/6))^2】
=1+tan(π/6)
=1+√3/3