Question

ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО

Answer 1

Ответ:

cos²x-sin²x-(sinx-cosx)=0

(cosx-sinx)(cosx+sinx)+(cosx-sinx)=0

(cosx-sinx)(cosx+sinx+1)=0

cosx-sinx=0/cosx

1-tgx=0

tgx=1

x=π/4+πn,n∈z

cosx+sinx+1=0

2cos²(x/2)+2sin(x/2)cos(x/2)=0

2cos(x/2)*(cos(x/2)+sin(x/2)=0

cos(x/2)=0

x/2=π/2+πk

x=π+2πk,k∈z

cos(x/2)+sin(x/2)=0/cos(x/2)

1+tg(x/2)=0

tg(x/2)=-1

x/2=-π/4+πm

x=-π/2+2πm,m∈z