tan70+tan50-√3tan70tan50的值等于?

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tan70+tan50-√3tan70tan50的值等于?tan70+tan50-√3tan70tan50的值等于?tan70+tan50-√3tan70tan50的值等于?Tan120=tan(70

tan70+tan50-√3tan70tan50的值等于?
tan70+tan50-√3tan70tan50的值等于?

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