Sin(п/2+4х)=1 решите уравнение

Question

Sin(п/2+4х)=1 решите уравнение

Answer 1

Cos4x=1
4x=2πn
x=πn/2,n∈z
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Answer 2

Sin(π/2+4x)=1

1)sinπ/2=1
2)sin(x+2k.π)=sinx

π/2+4x=π/2+2k.π, k∈Z
4x=2k.π
x=k.π/2, k∈Z (k=0,1,-1,2,-2,.........)
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