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Akar-akar dari persamaan 4 space sin squared space x space plus space 4 space cos space x space minus space 1 space equals space 0 di dalam selang (interval) negative straight pi less or equal than straight x less or equal than straight pi adalah...

  1. 3 over 2 dan negative 1 half

  2. negative 3 over 2 dan 1 half

  3. 2 over 3 straight pi dan space minus 2 over 3 straight pi

  4. 3 over 2 straight pi dan negative 1 half straight pi

  5. 1 third straight pi dan negative 1 third straight pi

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

4 sin to the power of space 2 end exponent x space plus space 4 cos space x space minus space 1 space equals space O space  4 left parenthesis 1 space minus space cos squared space x right parenthesis space plus space 4 space cos space x space minus space 1 space equals space 0  space 4 space minus space 4 space cos squared space x space plus space 4 space cos space x space minus space 1 space equals space 0 space  minus 4 space cos squared space x space plus space 4 space cos space x space minus space 3 space equals space 0  left parenthesis negative 4 space cos space x minus space 2 right parenthesis left parenthesis cos space x space minus 3 over 2 right parenthesis space equals space 0 space  minus 4 space cos space x space minus space 2 space equals space 0 space  minus 4 space cos space x space equals space 2 space  cos space x equals negative 1 half  cos space x space minus space 3 over 2 equals space 0

Syarat  negative straight pi space less or equal than x less or equal than straight pi equals negative 1 equals negative 1 less or equal than cos space x less or equal than 1

Maka nilai yang memenuhi cos x = negative 1 half

cos x = negative 1 half

x equals straight pi over 3 dan x equals negative straight pi over 3

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