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kamron971
@kamron971
August 2022
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найти область определения функции f (x)=1/sin^6 x +cos^6 x (10 бал)
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LKN1
Sin'6x + cos'6x не= 0
(sin'2x + cos'2x)(sin'4x - sin'2x•cos'2x + cos'4x) не= 0
1•((sin'2x + cos'2x) -3sin'2x•sin'2x) не= 0
3sin'2x•sin'2x не=1
3sin'2(2x) не= 4
|sin2x| не= 3/корень из 2
в системе:
2х не=(-1)'k•П/6 + 2Пk
2х не=(-1)'(k+1)•5П/6 + 2Пk
в системе:
х не=(-1)'k•П/12 + Пk
х не=(-1)'(k+1)•5П/12 + Пk
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Answers & Comments
(sin'2x + cos'2x)(sin'4x - sin'2x•cos'2x + cos'4x) не= 0
1•((sin'2x + cos'2x) -3sin'2x•sin'2x) не= 0
3sin'2x•sin'2x не=1
3sin'2(2x) не= 4
|sin2x| не= 3/корень из 2
в системе:
2х не=(-1)'k•П/6 + 2Пk
2х не=(-1)'(k+1)•5П/6 + 2Пk
в системе:
х не=(-1)'k•П/12 + Пk
х не=(-1)'(k+1)•5П/12 + Пk