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Pertanyaan

Selesaikan persamaan berikut untuk 0 degree less or equal than x less or equal than 360 degree

3 cos space 2 x degree plus 8 sin space x degree plus 5 equals 0

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Dengan menggunakan rumus trigonometri, diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 cos space 2 x degree plus 8 sin space x degree plus 5 end cell equals 0 row cell 3 open parentheses 1 minus 2 sin squared x degree close parentheses plus 8 sin space x degree plus 5 end cell equals 0 row cell 3 minus 6 sin squared x degree plus 8 sin space x degree plus 5 end cell equals 0 row cell negative 6 sin squared x degree plus 8 sin space x degree plus 8 end cell equals 0 row cell 6 sin squared x degree minus 8 sin space x degree minus 8 end cell equals 0 row cell 3 sin squared x degree minus 4 sin space x degree minus 4 end cell equals 0 row cell open parentheses negative 2 minus 3 sin space x degree close parentheses open parentheses 2 minus sin space x degree close parentheses end cell equals 0 row cell negative 2 minus 3 sin space x degree end cell equals 0 row cell sin space x degree end cell equals cell negative 2 over 3 space atau end cell row cell 2 minus sin space x degree end cell equals 0 row cell sin space x degree end cell equals cell 2 space left parenthesis tidak space ada space nilai space straight x space yang space memenuhi right parenthesis end cell end table

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space x degree end cell equals cell negative 2 over 3 end cell row cell sin space x degree end cell equals cell sin space 221 comma 8 degree end cell row cell x degree end cell equals cell 221 comma 8 degree comma space 318 comma 2 degree end cell end table

Dengan demikian,

HP equals open curly brackets 221 comma 8 degree comma space 318 comma 2 table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table close curly brackets

19

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