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0 ∘ ≤ x ≤ 36 0 ∘ Jika sin ( 2 x − 1 0 ∘ ) = − 2 1 ​ 3 ​ , berapa nilai x ?

 
Jika , berapa nilai 

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N. Puspita

Master Teacher

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nilai adalah

nilai begin mathsize 14px style x end style adalah begin mathsize 14px style open curly brackets 125 degree comma space 155 degree comma space 305 degree comma space 335 degree close curly brackets end style

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Ingat! Maka penyelesaiannya yaitu: Jadi nilai adalah

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Jika space sin space A equals sin space B  maka space colon A equals B plus k times 360 degree A equals left parenthesis 180 degree minus B right parenthesis plus k times 360 degree

Maka penyelesaiannya yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin open parentheses 2 straight x minus 10 degree close parentheses end cell equals cell negative 1 half square root of 3 end cell row cell sin open parentheses 2 straight x minus 10 degree close parentheses end cell equals cell sin space 240 degree end cell row blank rightwards double arrow cell 2 straight x minus 10 degree equals 240 degree plus straight k times 360 degree end cell row cell 2 straight x end cell equals cell 250 degree plus straight k times 360 degree end cell row straight x equals cell 125 degree plus straight k times 180 degree end cell row blank rightwards arrow cell straight k equals 0 comma space straight x equals 125 degree plus 0 times 180 degree end cell row straight x equals cell 125 degree end cell row blank rightwards arrow cell straight k equals 1 comma space straight x equals 125 degree plus 1 times 180 degree end cell row straight x equals cell 305 degree end cell row blank rightwards double arrow cell 2 straight x minus 10 degree equals open parentheses 180 degree minus 240 degree close parentheses plus straight k times 360 degree end cell row cell 2 straight x end cell equals cell negative 50 degree plus straight k times 360 degree end cell row straight x equals cell negative 25 degree plus straight k times 180 degree end cell row blank rightwards arrow cell straight k equals 1 comma space straight x equals negative 25 degree plus 1 times 180 degree end cell row straight x equals cell 155 degree end cell row blank rightwards arrow cell straight k equals 2 comma space straight x equals negative 25 degree plus 2 times 180 degree end cell row straight x equals cell negative 25 degree plus 360 degree end cell row straight x equals cell 335 degree end cell end table end style 

Jadi nilai begin mathsize 14px style x end style adalah begin mathsize 14px style open curly brackets 125 degree comma space 155 degree comma space 305 degree comma space 335 degree close curly brackets end style

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