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Nilai maksimum dan minimum dari f ( x ) = 8 sin ( 2 x − 6 π ​ ) sin ( 2 x + 6 π ​ ) + 1 adalah....

Nilai maksimum dan minimum dari

   adalah....
 

  1. 9 dan – 3

  2. 8 dan – 4

  3. 8 dan – 2

  4. 7 dan – 1

  5. 6 dan – 1

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S. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

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Nilai minimum = -1 Nilai maksimum = 7

straight f open parentheses straight x close parentheses equals 8 space sin open parentheses 2 straight x minus straight pi over 6 close parentheses sin open parentheses 2 straight x plus straight pi over 6 close parentheses plus 1 equals negative 4 open parentheses negative 2 space sin open parentheses 2 straight x minus 30 degree close parentheses sin open parentheses 2 straight x minus 30 degree close parentheses close parentheses plus 1 rightwards double arrow straight f open parentheses straight x close parentheses equals negative 4 space cos space 4 straight x plus 4 space cos space 60 degree space plus 1 equals 4 space cos space 4 straight x plus 3 straight f apostrophe open parentheses straight x close parentheses equals 0 rightwards double arrow 16 space sin space 4 straight x equals 0 rightwards double arrow sin space 4 straight x equals 0 rightwards double arrow straight x equals 0 degree intersection straight x equals 45 degree straight x equals 0 degree rightwards double arrow straight f open parentheses 0 degree close parentheses equals 8 space sin open parentheses negative 30 degree close parentheses times sin open parentheses 30 degree close parentheses plus 1 equals 8 times negative 1 half times 1 half plus 1 equals negative 1 space space space

Nilai minimum = -1

space x equals 45 degree rightwards double arrow f open parentheses 45 degree close parentheses equals 8 space sin open parentheses 60 degree close parentheses times sin open parentheses 120 degree close parentheses plus 1 equals 8 times 1 half square root of 3 times 1 half square root of 3 plus 1 equals 7

Nilai maksimum = 7

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