tan70+tan50-根号3tan70tan50的值等于

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tan70+tan50-根号3tan70tan50的值等于

tan70+tan50-根号3tan70tan50的值等于
tan70+tan50-根号3tan70tan50的值等于

tan70+tan50-根号3tan70tan50的值等于
Tan120=tan(70+50)=(tan70+tan50)/(1-tan70tan50)= -√3.∴tan70+tan50=-√3(1-tan70tan50)=- √3+(√3)tan70tan50.∴tan70+tan

Tan120=tan(70+50)=(tan70+tan50)/(1-tan70tan50)= -√3. ∴tan70+tan50=tan120(1-tan70+tan50)=√3(1-tan70tan50)∴tan70+tan50-√tan70tan50=√3(1-tan70tan50)-√3tan70tan50=√3

tan(70+50)=tan120=-√3
tan(70+50)=(tan70+tan50)/(1-tan70tan50)=-√3
tan70+tan50=-√3(1-tan70tan50)=-√3+√3tan70tan50
所以tan70+tan50-√3tan70tan50=-√3