sin(2x) = (2*tan(x))/(1+tan(x)^2)有这个公式吗?求证明
2个回答
右边=2tanx/(1+ sin²x/cos²x)
=2tanx/[(cos²x+sin²x)/cos²x]
=2tanx*cos²x
=2sinx*cosx
=sin(2x)
=右边
所以等式得证.
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