(sin2a-2cos²a) / sin(a-π/4)
=(2sinacosa-2cos²a) / sin(a-π/4)
=2cosa(sina-cosa)/sin(a-π/4)
因为sin(a-π/4)=√2/2(sina-cosa)
所以原式=2√2cosa
(sin2a-2cos²a) / sin(a-π/4)
=(2sinacosa-2cos²a) / sin(a-π/4)
=2cosa(sina-cosa)/sin(a-π/4)
因为sin(a-π/4)=√2/2(sina-cosa)
所以原式=2√2cosa