Pertanyaan

Garis singgung kurva y = s in ( x + 20 ) yang sejajar dengan garis 2 y + 3 x + 8 = 0 . Salah satu absis titik singgung kurva adalah….

Garis singgung kurva $y = s in (x + 20)$ yang sejajar dengan garis $2 y + 3 x + 8 = 0$ . Salah satu absis titik singgung kurva adalah….

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Klaim

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style Gradien space garis space 2 straight y plus square root of 3 straight x plus 8 equals 0 space adalah 2 straight y equals negative square root of 3 straight x minus 8 straight y equals negative fraction numerator square root of 3 over denominator 2 end fraction straight x minus 8 over 2 straight y equals negative fraction numerator square root of 3 over denominator 2 end fraction straight x minus 4 straight m subscript 1 equals negative fraction numerator square root of 3 over denominator 2 end fraction Gradien space garis space singgung space kurva space left parenthesis straight m subscript 2 right parenthesis space sejajar dengan space garis space 2 straight y plus square root of 3 straight x plus 8 equals 0 space maka space colon straight m subscript 1 equals straight m subscript 2 straight m subscript 2 equals negative fraction numerator square root of 3 over denominator 2 end fraction straight y to the power of straight apostrophe equals straight m cos space left parenthesis straight x plus 20 right parenthesis equals negative fraction numerator square root of 3 over denominator 2 end fraction Dicari space cos space straight a equals negative fraction numerator square root of 3 over denominator 2 end fraction straight a equals 150 to the power of 0 comma 210 to the power of 0 straight i. space cos space open parentheses straight x plus 20 close parentheses equals cos space 150 degree straight x plus 20 equals 150 degree straight x equals 130 degree equals 13 over 18 straight pi ii. space cos space open parentheses straight x plus 20 close parentheses equals cos space 210 degree straight x plus 20 equals 210 degree straight x equals 190 degree equals 19 over 18 straight pi end style$