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Himpunan penyelesaian dari sin 2 x = 2 1 ​ untuk 0 ∘ ≤ x ≤ 36 0 ∘ adalah ….

Himpunan penyelesaian dari  untuk  adalah ….

  1. begin mathsize 14px style left curly bracket 15 degree comma space 95 degree comma space 155 degree comma space 275 degree right curly bracket end style 

  2. begin mathsize 14px style left curly bracket 25 degree comma space 75 degree comma space 115 degree comma space 315 degree right curly bracket end style 

  3. begin mathsize 14px style left curly bracket 15 degree comma space 75 degree comma space 195 degree comma space 255 degree right curly bracket end style 

  4. begin mathsize 14px style left curly bracket 25 degree comma space 75 degree comma space 195 degree comma space 255 degree right curly bracket end style 

  5. size 14px left curly bracket size 14px 25 size 14px degree size 14px comma size 14px space size 14px 95 size 14px degree size 14px comma size 14px space size 14px 175 size 14px degree size 14px comma size 14px space size 14px 215 size 14px degree size 14px right curly bracket    

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himpunan penyelesainnya yaitu

himpunan penyelesainnya yaitu size 14px left curly bracket size 14px 15 size 14px degree size 14px comma size 14px space size 14px 75 size 14px degree size 14px comma size 14px space size 14px 195 size 14px degree size 14px comma size 14px space size 14px 255 size 14px degree size 14px right curly bracket 

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Pembahasan

Jadi, himpunan penyelesainnya yaitu

  • begin mathsize 14px style 2 straight x equals 30 degree plus straight k times 2 straight pi straight k equals 0 rightwards arrow 2 straight x equals 30 degree rightwards double arrow straight x equals 15 degree straight k equals 1 rightwards arrow 2 straight x equals 30 degree plus 360 degree rightwards double arrow straight x equals 195 degree end style 

 

  • begin mathsize 14px style 2 x equals 150 degree plus k times 2 straight pi straight k equals 0 rightwards arrow 2 straight x equals 150 degree rightwards double arrow straight x equals 75 degree straight k equals 1 rightwards arrow 2 straight x equals 150 degree plus 360 degree rightwards double arrow straight x equals 255 degree end style 

Jadi, himpunan penyelesainnya yaitu size 14px left curly bracket size 14px 15 size 14px degree size 14px comma size 14px space size 14px 75 size 14px degree size 14px comma size 14px space size 14px 195 size 14px degree size 14px comma size 14px space size 14px 255 size 14px degree size 14px right curly bracket 

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Himpunan nilai x yang memenuhi sin 3 x = 2 1 ​ 2 ​ dengan 0 ≤ x ≤ 18 0 ∘ adalah ....

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