Question

Dau coroana cine ma poate ajuta va rog eu mult !!!
1+ sin x + cos x + sin 2x - cos 2x=0

CLASA 10

Answer 1

[tex]cos^2x+sin^2x+sinx+cosx+2sinx*cosx-cos^2x+sin^2x=0 \\2sin^2x+2sinxcosx+sinx+cosx=0 \\ sinx(2sinx+1)+cosx(2sinx+1)=0 \\ (2sinx+1)(sinx+cosx)=0 \\ 2sinx+1=0sau sinx+cosx=0 \\ sinx=- \frac{1}{2} ;sau;tgx=-1 \\ x=(-1)^k*(- \frac{ \pi }{6})+k \pi ,k.∈Z \\ x=- \frac{ \pi }{4}+n \pi ,n∈Z [/tex]