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Pertanyaan

Himpunan penyelesaian persamaan , 6 space cos space 3 x to the power of 0 minus 3 equals 0 comma space u n t u k space 0 less or equal than x less or equal than 180 comma adalah ....

  1. {0,20,60}

  2. {0,20,100}

  3. {20,60,100}

  4. {20,100,140}

  5. {100,140,180}

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Jawaban

himpunan penyelesaian persamaan di atas adalah open curly brackets 20 to the power of 0 comma space 100 to the power of 0 comma space 140 to the power of 0 close curly brackets

Pembahasan

6 space cos space 3 x to the power of 0 minus 3 equals 0  6 space cos space 3 x to the power of 0 equals 3  cos space 3 x to the power of 0 equals 1 half  cos space 3 x to the power of 0 equals cos space 60 to the power of 0

  open parentheses i close parentheses space 3 x equals 60 to the power of 0 plus 360 to the power of 0 k  space space space space space space space x equals 20 plus 120 k  space space space space space space space U n t u k space k equals 0 space m a k a space x equals 20 to the power of 0  space space space space space space space U n t u k space k equals 1 space m a k a space x equals 140 to the power of 0

open parentheses i i close parentheses space 3 x equals negative 60 to the power of 0 plus 360 to the power of 0 k  space space space space space space space space space x equals space minus 20 plus 120 to the power of 0 k  space space space space space space U n t u k space k equals 1 space m a k a space x equals 100 to the power of 0

Jadi himpunan penyelesaian persamaan di atas adalah open curly brackets 20 to the power of 0 comma space 100 to the power of 0 comma space 140 to the power of 0 close curly brackets

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