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Himpunan penyelesaian persamaan cos 2 x − 3 cos x + 2 = 0 untuk 0 ≤ x ≤ 2 π adalah ...

Himpunan penyelesaian persamaan untuk adalah ...

  1. open curly brackets 0 comma space straight pi over 2 comma space 3 over 4 straight pi comma space 2 straight pi close curly brackets

  2. open curly brackets 0 comma space straight pi over 3 comma space 5 over 3 straight pi comma space 2 straight pi close curly brackets

  3. open curly brackets 0 comma space straight pi over 3 comma space 2 over 3 straight pi comma space 2 straight pi close curly brackets

  4. open curly brackets 0 comma space straight pi over 2 comma straight pi comma space 3 over 2 straight pi close curly brackets

  5. open curly brackets 0 comma space straight pi over 2 comma space straight pi comma space 2 straight pi close curly brackets

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

cos space 2 straight x minus 3 space cosx plus 2 equals 0  2 space cos squared space straight x space minus space 1 minus space 3 space cos space straight x space plus space 2 space equals space 0  2 space cos squared space straight x space minus space 3 space cos space straight x space plus space 1 space equals space 0  left parenthesis 2 space cosx minus 1 right parenthesis left parenthesis cosx minus 1 right parenthesis equals 0  2 space cosx minus 1 equals 0 space  2 space cosx equals 1  cosx equals 1 half    asterisk times 2 space cosx minus 1 equals 0  2 space cosx equals 1  cosx equals 1 half  straight x equals open curly brackets straight pi over 3 comma 5 over 3 straight pi close curly brackets    asterisk times cosx space minus space 1 space equals space 0 space  cosx space equals 1  straight x equals open curly brackets 0 comma 2 straight pi close curly brackets  HP equals open curly brackets 0 comma space straight pi over 3 comma 5 over 3 straight pi comma space 2 straight pi close curly brackets

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Muhamad Hagyl Pratama

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