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Penyelesaian persamaan untuk adalah ...

Penyelesaian persamaan sin space open parentheses x minus 45 to the power of 0 close parentheses space greater than 1 half square root of 3 untuk 0 less or equal than x less or equal than 105 adalah ...

  1. 75 < x < 105

  2. 75 < x < 165

  3. 105 < x < 165

  4. 0 < x < 75 atau 135 < x < 360

  5. 0 < x < 105 atau 135 < x < 360

Jawaban:

sin space open parentheses x minus 45 to the power of 0 close parentheses space greater than 1 half square root of 3

equals 1 half square root of 3 equals space sin space 60 to the power of 0 space d a n space sin space 120 to the power of 0  sin space left parenthesis x minus 45 to the power of 0 right parenthesis space equals space sin space 60 to the power of 0  x minus 45 to the power of 0 equals 60 to the power of 0  x equals 105 to the power of 0  sin space left parenthesis x minus 45 to the power of 0 right parenthesis space equals space sin space 120 to the power of 0  x minus 45 to the power of 0 equals 120 to the power of 0  x minus 45 to the power of 0 equals 120 to the power of 0  x equals 165 to the power of 0

Maka,

sin left parenthesis x minus 45 to the power of 0 right parenthesis greater than 1 half square root of 3 spaceuntuk 0 less or equal than x less or equal than 360 equals 105 less than x less than 165

 

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