Pertanyaan

Selesaikanlah persamaan berikut untuk 0 ∘ ≤ x ≤ 36 0 ∘ 4 cos x ∘ + 3 sin x ∘ = 5

Selesaikanlah persamaan berikut untuk $0^{\circ} \leq x \leq 36 0^{\circ}$

$4 cos x^{\circ} + 3 sin x^{\circ} = 5$

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Jawaban terverifikasi

Pembahasan

Dengan mengggunakan rumus trigonometri, misalkan, Sehingga, Kemudian, Dengan demikian, .

Dengan mengggunakan rumus trigonometri, misalkan,

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 cos space x plus 3 sin space x end cell equals cell k cos left parenthesis x plus alpha right parenthesis degree end cell row blank equals cell k cos space x degree times cos space alpha degree plus k sin space x degree times sin space alpha degree end cell end table

Sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell k cos space alpha degree end cell equals 4 row cell k sin space alpha degree end cell equals cell negative 3 end cell row k equals cell square root of open parentheses 4 close parentheses squared plus open parentheses negative 3 close parentheses squared end root end cell row blank equals cell square root of 16 plus 9 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 row cell tan space alpha degree end cell equals cell fraction numerator negative 3 over denominator 4 end fraction space left parenthesis kuadran space IV right parenthesis end cell row cell alpha degree end cell equals cell 323 comma 13 degree end cell end table$

Kemudian,

Dengan demikian,

table attributes columnalign right center left columnspacing 0px end attributes row HP equals cell open curly brackets 36 comma 87 degree close curly brackets end cell end table .