已知sinθ+cosθ=-(根号10)/5,求tanθ的值
已知sinθ+cosθ=-(根号10)/5,求tanθ的值
数学人气:967 ℃时间:2019-10-20 00:23:11
优质解答
sinθ+cosθ=-(根号10)/5两边平方(sinθ)^2+2sinθcosθ+(cosθ)^2=2/51+2sinθcosθ=2/5sinθcosθ=-3/10[(sinθ)^2+(cosθ)^2]/(sinθcosθ)=1/(sinθcosθ)=-10/3[(sinθ)^2+(cosθ)^2]/(sinθcosθ)=(sinθ)^...
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