函数错了吧否则sinx直接与分母约去了
f(x)=(sinx-cosx)sin2x/sinx
=(sinx-cosx)*2sinxcosx/sinx
=(sinx-cosx)*2cosx
=2sinxcosx-2cos²x
=sin2x-(1+cos2x)
=sin2x-cos2x-1
=√2(√2/2*sin2x-√2/2*cos2x)-1
=√2(cosπ/4*sin2x-sinπ/4*cos2x)-1
=√2 sin(2x-π/4)-1(利用两角差的正弦公式得来的)
函数错了吧否则sinx直接与分母约去了
f(x)=(sinx-cosx)sin2x/sinx
=(sinx-cosx)*2sinxcosx/sinx
=(sinx-cosx)*2cosx
=2sinxcosx-2cos²x
=sin2x-(1+cos2x)
=sin2x-cos2x-1
=√2(√2/2*sin2x-√2/2*cos2x)-1
=√2(cosπ/4*sin2x-sinπ/4*cos2x)-1
=√2 sin(2x-π/4)-1(利用两角差的正弦公式得来的)