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Himpunan penyelesaian persamaan adalah....

Himpunan penyelesaian persamaan cos space 2 x to the power of 0 space plus space 7 space sin space x to the power of 0 space minus space 4 space equals space 0 comma space 0 less or equal than x less or equal than 360 adalah....

  1. open curly brackets 240 to the power of 0 comma 300 to the power of 0 close curly brackets

  2. open curly brackets 210 to the power of 0 comma 330 to the power of 0 close curly brackets

  3. open curly brackets 120 to the power of 0 comma 240 to the power of 0 close curly brackets

  4. open curly brackets 60 to the power of 0 comma 120 to the power of 0 close curly brackets

  5. open curly brackets 30 to the power of 0 comma 150 to the power of 0 close curly brackets

Jawaban:

Himpunan penyelesaian persamaan cos space 2 x to the power of 0 space plus space 7 space sin space x to the power of 0 space minus space 4 space equals space 0 comma space 0 less or equal than x less or equal than 360

cos space 2 x plus 7 space sin space x minus 4 equals 0  open parentheses 1 minus 2 sin squared x close parentheses plus 7 space sin space x minus 4 equals 0  minus 2 sin squared x plus 7 space sin space x minus 3 equals 0  2 sin squared x minus 7 space sin space x plus 3 equals 0  left parenthesis 2 sin space x minus 1 right parenthesis left parenthesis sin space x minus 3 right parenthesis equals 0  sin space x equals 1 half  sin space x equals sin space 30  x equals 30 plus k.360  x equals 30 comma 150  sin space x equals 3 left parenthesis t i d a k space b e r l a k u  H P space rightwards arrow open curly brackets 30 to the power of 0 comma 150 to the power of 0 close curly brackets

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