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Pertanyaan

Untuk interval 0 ∘ ≤ x ≤ 18 0 ∘ nilai maksimum fungsi y = 2 cos ( 2 x − 3 0 ∘ ) akan dicapai pada x = ....

Untuk interval  nilai maksimum fungsi  akan dicapai pada x = ....

  1. 0 degree

  2. 15 degree

  3. 75 degree

  4. 105 degree

  5. 180 degree

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

begin mathsize 14px style straight y apostrophe equals 0 space minus 4 space sin space left parenthesis 2 straight x minus 30 degree right parenthesis equals 0 sin space left parenthesis 2 straight x minus 30 degree right parenthesis equals 0 space sin space left parenthesis 2 straight x minus 30 degree right parenthesis equals sin space 0 degree space space  2 straight x minus 30 degree equals 0 degree plus straight k.360 degree space 2 straight x equals 30 degree plus straight k.360 degree space straight x equals 15 degree plus straight k.180 degree space straight k equals 0 space maka space straight x equals 15 degree space space  2 straight x minus 30 degree equals 180 degree plus straight k.360 degree space 2 straight x equals 210 degree plus straight k.360 degree space straight x equals 105 degree plus straight k.180 degree space straight k equals 0 space maka space straight x equals 105 degree space space  straight f left parenthesis 0 degree right parenthesis equals 2 space cos space left parenthesis negative 30 degree right parenthesis equals 2 space.1 half space √ 3 equals √ 3 space straight f left parenthesis 15 degree right parenthesis equals 2 space cos space left parenthesis 0 degree right parenthesis equals 2 space.1 equals 2 space straight f left parenthesis 105 degree right parenthesis equals 2 space cos space left parenthesis 180 degree right parenthesis equals 2 space. negative 1 equals negative 2 space straight f left parenthesis 180 degree right parenthesis equals 2 space cos space left parenthesis 330 degree right parenthesis equals 2 space.1 half space √ 3 equals √ 3 space space  Nilai space maksimum space dicapai space pada space saat space straight x equals 15 degree end style

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