помогите решить тригонометрическое уравнение 5соs(2x+п/2)=2,5. Created by Kolyan22812. matematika-ru

2)=2,5...

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помогите решить тригонометрическое уравнение 5соs(2x+п/2)=2,5

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Amigo3 5соs(2x+π/2)=2,5⇒cos(2x+π/2)=0,5⇒2*x1+π/2=π/3+2*π*N⇒
x1=(π/3+2*π*N-0,5*π)/2=π*N-0,25*π+π/6.
2*x2+π/2=5*π/3+2*π*N⇒х2=π*N-0,25*π+2,5*π/3.

Ответ: x1=π*N-0,25*π+π/6; х2=π*N-0,25*π+2,5*π/3, N∈Z.

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