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Tentukan HP dari , untuk .

Tentukan HP dari begin mathsize 14px style cos open parentheses 2 x plus 1 close parentheses equals 0 end style, untuk begin mathsize 14px style 0 degree less or equal than x less or equal than 360 degree end style.

Jawaban:

Diingat rumus untuk persamaan trigonometri cosinus sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos x end cell equals cell cos alpha end cell row x equals cell plus-or-minus a plus k times 360 degree end cell end table end style 

Persamaan begin mathsize 14px style cos open parentheses 2 x plus 1 close parentheses equals 0 end style, untuk begin mathsize 14px style 0 degree less or equal than x less or equal than 360 degree end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos left parenthesis 2 x plus 1 right parenthesis end cell equals 0 row blank left right double arrow cell cos left parenthesis 2 x plus 1 right parenthesis equals cos 90 degree end cell row blank left right double arrow cell 2 x plus 1 equals plus-or-minus 90 degree plus k times 360 degree end cell row blank blank blank end table end style 

Untuk undefined

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x plus 1 end cell equals cell 90 degree plus k times 360 degree end cell row blank left right double arrow cell 2 x equals 89 degree plus k times 360 degree end cell row blank left right double arrow cell x equals 44 comma 5 degree plus k times 180 degree end cell row blank left right double arrow cell x equals open curly brackets 44 comma 5 degree semicolon 224 comma 5 degree close curly brackets space space end cell end table end style 

Untuk begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell negative 90 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank k end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 360 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table end style

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x plus 1 end cell equals cell negative 90 degree plus k times 360 degree end cell row blank left right double arrow cell 2 x equals negative 91 degree plus k times 360 degree end cell row blank left right double arrow cell x equals negative 45 comma 5 degree plus k times 180 degree end cell row blank left right double arrow cell x equals open curly brackets space 134 comma 5 degree semicolon space 314 comma 5 degree close curly brackets end cell end table end style   

Jadi, himpunan penyelesaiannya adalah begin mathsize 14px style open curly brackets 44 comma 5 degree semicolon space 134 comma 5 degree semicolon space 224 comma 5 degree semicolon space 314 comma 5 degree close curly brackets end style.

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