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Pertanyaan

Jika p sin open parentheses x close parentheses plus q cos open parentheses x close parentheses equals sin open parentheses 60 to the power of degree minus x close parentheses untuk setiap x, maka nilai p plus q square root of 3 adalah ...

  1. 3 over 2

  2. 1

  3. 1 half

  4. negative 1 half

  5. -1

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

sin 60 degree left parenthesis space 60 degree minus space x right parenthesis space equals space sin 60 degree cos x space minus space cos 60 degree. sin x  equals 1 half square root of 3 cosx space minus 1 half sinx  equals negative 1 half sinx plus 1 half square root of 3 cosx    minus 1 half sinx plus 1 half square root of 3 cosx equals straight p space sinx space plus space straight q space cosx  straight p equals negative 1 half  straight q equals 1 half square root of 3  straight p plus straight q square root of 3 equals negative 1 half plus open parentheses 1 half square root of 3 close parentheses open parentheses square root of 3 close parentheses  equals negative 1 half plus 3 over 2  equals 2 over 2 equals 1

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