tan60°=tan(23°+37°)=(tan23°+tan37°)/(1-tan23°tan37°)
=√3
即tan23°+tan37°=√3*(1-tan23°tan37°)=√3-√3tan23°tan37°
∴tan23°+tan37°+√3tan23°tan37°=√3
化简下列各式 tan23º+tan37º+√3 乘以tan23º乘以tan37º
tan60°=tan(23°+37°)=(tan23°+tan37°)/(1-tan23°tan37°)
=√3
即tan23°+tan37°=√3*(1-tan23°tan37°)=√3-√3tan23°tan37°
∴tan23°+tan37°+√3tan23°tan37°=√3