Roboguru

Berapakah nilai A dan B pada persamaan berikut?

Berapakah nilai A dan B pada persamaan berikut?

sin space x times sin space 2 x plus sin space 2 x times sin space 3 x equals 8 sin to the power of A x times cos to the power of B x 

  1. ....

  2. ....

Jawaban:

Gunakan konsep trigonometri fungsi sinus.

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space x times sin space 2 x plus sin space 2 x times sin space 3 x end cell equals cell 8 sin to the power of A x times cos to the power of B x end cell row cell sin space 2 x left parenthesis sin space x plus sin space 3 x right parenthesis end cell equals cell 8 sin to the power of A x times cos to the power of B x end cell row cell 2 times sin space 2 x open parentheses 2 times sin open parentheses fraction numerator x plus 3 x over denominator 2 end fraction close parentheses times cos open parentheses fraction numerator x minus 3 x over denominator 2 end fraction close parentheses close parentheses end cell equals cell 8 sin to the power of A x times cos to the power of B x end cell row cell 2 times sin squared 2 x times cos space x end cell equals cell 8 sin to the power of A x times cos to the power of B x end cell row cell 8 times sin squared x times cos cubed x end cell equals cell 8 sin to the power of A x times cos to the power of B x end cell end table

Jadi, nilai A equals 2 dan B equals 3.

0

Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved