Question

Упростите выражение: 1+cos4x/tg(3п/4-2x)

Answer 1

Tg(3П/4-2x)=(1-cos(3П/2-4x))/sin(3П/2-4x)=-(1+sin4x)/cos(4x)
1+(cos4x/tg 3П/4-2x)=1-cos^4x/(1+sin4x)=(1+sin^4x-cos^4x)/(1+sin4x)=
=(1-cos8x)/(sin2x+cos2x)