Question

$2sinxcosx+sin^{4}x-cos^{4}x=0$

Answer 1

$2sinxcosx+sin^{4}x-cos^{4}x=0\ sin2x+cos2x=0\ sin2x=-cos2x|:cos2x\ tg2x=-1\ 2x=-frac{pi}{4}+2pi*n;n E Z|:2\ x=-frac{pi}{8}+pi*n;n E Z$