Решите уравнение : sin(-x/2)=1/2 2cos(2x+pi/4)=-sqrt2 - вопрос №33286982122242 от ART666999 01.05.2022 14:55

Question

Алгебра: Решите уравнение : sin(-x/2)=1/2 2cos(2x+pi/4)=-sqrt2 , умоляю

ART666999 · Answer

Sin(-x/2)=1/2-sinx/2=1/2sinx/2=-1/2x/2=(-1)^(n+1)π/6+πn, n∈Zx=(-1)^(n+1)π/3+2πn, n∈Z2cos(2x+π/4)=-√2cos(2x+π/4)=-√2/22x+π/4=+/-(π-π/4)+2πk, k∈Z2x+π/4=+/-3π/4+2πk, k∈Z2x=+/-3π/4-π/4+2πk, k∈Z2x=3π/4-π/4+2πk=π/2+2πk, k∈Z      x1=π/4+πk, k∈Z2x=-3π/-π/4+2πk=-π+2πk, k∈Z        x2=-π/2+πk, k∈Z...