Pertanyaan

Selesaikanlah persamaan berikut untuk 0 ∘ ≤ x ≤ 36 0 ∘ 4 cos 2 x ∘ + 3 sin 2 x ∘ = 3

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

$4 cos 2 x^{\circ} + 3 sin 2 x^{\circ} = 3$

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Habis dalam

Klaim

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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 2 x plus 3 sin space 2 x end cell equals cell k cos left parenthesis 2 x plus alpha right parenthesis degree end cell row blank equals cell k cos space 2 x degree times cos space alpha degree minus k sin space 2 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 45 degree comma space 171 comma 87 degree comma space 225 degree comma space 351 comma 87 degree close curly brackets end cell end table .