√3tan11º+√3tan19º+tan11ºtan19º的值是?
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√3tan11º+√3tan19º+tan11ºtan19º的值是?
√3tan11º+√3tan19º+tan11ºtan19º的值是?
√3tan11º+√3tan19º+tan11ºtan19º的值是?
√
显然
tan30
=tan(11+19)
=(tan11+tan19)/(1-tan11*tan19)
=√3 /3
所以
√3 *(tan11+tan19) =1 -tan11*tan19
于是
√3 tan11 +√3 tan19 +tan11 *tan19 =1