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vipmitya007
@vipmitya007
July 2022
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m11m
Cos
π(2x-8)
=
√2
4 2
cos
2π(x-4)
=
√2
4 2
cos
π(x-4)
=
√2
2 2
π(x-4)
=
+
π/4 + 2πn, n∈Z
2
1)
π(x-4)
= π/4 +2πn, n∈Z
2
x-4 =
2π
+
2πn*2
4π π
x-4 = 0.5 +4n
x=0.5+4+4n
x=4.5+4n, n∈Z
2)
π(x-4)
= -π/4 + 2πn, n∈Z
2
x-4 = -0.5+4n
x=4-0.5 +4n
x=3.5+4n, n∈Z
Ответ: 3,5+4n, n∈Z;
4,5+4n, n∈Z
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Answers & Comments
4 2
cos 2π(x-4) = √2
4 2
cos π(x-4) = √2
2 2
π(x-4) = + π/4 + 2πn, n∈Z
2
1) π(x-4)= π/4 +2πn, n∈Z
2
x-4 = 2π + 2πn*2
4π π
x-4 = 0.5 +4n
x=0.5+4+4n
x=4.5+4n, n∈Z
2) π(x-4) = -π/4 + 2πn, n∈Z
2
x-4 = -0.5+4n
x=4-0.5 +4n
x=3.5+4n, n∈Z
Ответ: 3,5+4n, n∈Z;
4,5+4n, n∈Z