Pertanyaan

Diketahui sin ( x − 6 0 0 ) + sin ( x + 6 0 0 ) = p . Hasil dari sinn 2 x = ....

$Diketahui sin (x - 6 0^{0}) + sin (x + 6 0^{0}) = p . Hasil dari sinn 2 x = ....$

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$Pada space trigonometri space terdapat space sifat sin space straight A space plus space sin space straight B equals 2 space sin space open parentheses fraction numerator straight A plus straight B over denominator 2 end fraction close parentheses space cos open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses sin space 2 straight x equals 2 space sin space straight x space cos space straight x sehingga sin space left parenthesis straight x minus 60 to the power of 0 right parenthesis space plus space sin space left parenthesis straight x plus 60 to the power of 0 right parenthesis equals p italic 2 italic space italic sin italic space open parentheses fraction numerator x italic minus italic 60 to the power of italic 0 italic plus x italic plus italic 60 to the power of italic 0 over denominator italic 2 end fraction close parentheses italic space italic cos italic space open parentheses fraction numerator x italic minus italic 60 to the power of italic 0 italic minus italic left parenthesis x italic plus italic 60 to the power of italic 0 over denominator italic 2 end fraction close parentheses italic equals p 2 space sin space left parenthesis straight x right parenthesis space cos space left parenthesis negative 60 to the power of 0 right parenthesis equals straight p 2 space sin space left parenthesis straight x right parenthesis space.1 half equals straight p sin space straight x equals straight p Perhatikan space segitiga space berikut space ini.$

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