已知tan(4/π-α)=3.求sin2α-sin²α+cos2α的值
人气:433 ℃ 时间:2020-02-02 23:09:47
解答
tan(4/π-α)=3-tana=tan(-a)=tan[(4/π-α)-4/π]=[tan(4/π-α)-tan(4/π)]/[1+tan(4/π-α) * tan(4/π)]=(3-1)/(1+3)=1/2;tana=-1/2sin2a=(2tana)/[1+(tana)^2]=-4/5cos2a=[1-(tana)^2]/[1+(tana)^2]=3/5sin2α-...
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