化简:sin2a(1+tanatan乘a/2)=?已知tan(a减被他)=1/2,tan(a+被他)=2,则tan2被他=?急
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![化简:sin2a(1+tanatan乘a/2)=?已知tan(a减被他)=1/2,tan(a+被他)=2,则tan2被他=?急](/uploads/image/z/11964948-60-8.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9Asin2a%281%2Btanatan%E4%B9%98a%2F2%29%3D%3F%E5%B7%B2%E7%9F%A5tan%28a%E5%87%8F%E8%A2%AB%E4%BB%96%29%3D1%2F2%2Ctan%28a%2B%E8%A2%AB%E4%BB%96%29%3D2%2C%E5%88%99tan2%E8%A2%AB%E4%BB%96%3D%3F%E6%80%A5)
化简:sin2a(1+tanatan乘a/2)=?已知tan(a减被他)=1/2,tan(a+被他)=2,则tan2被他=?急
化简:sin2a(1+tanatan乘a/2)=?已知tan(a减被他)=1/2,tan(a+被他)=2,则tan2被他=?急
化简:sin2a(1+tanatan乘a/2)=?已知tan(a减被他)=1/2,tan(a+被他)=2,则tan2被他=?急
1、sin2α(1+tanα*tanα/2)={1+(tanα/2)^2/[1-(tanα/2)^2]}sin2α=2sin2a/cosa=2sina,
tanα=2tanα/2/[1-(tanα/2)^2]
tan2β=tan[(α+β)-tan(α-β)]/[1+tan(α+β)tan(α-β)]
=(2-1/2)]/[1+2*1/2)=3/4.