Roboguru

Diketahui segitiga ABC siku-siku di C, sin A sin B= dan sin A cos B - cos A sin B= 5a. Tentukan nilai a.

Pertanyaan

Diketahui segitiga ABC siku-siku di C, sin A sin B=begin mathsize 14px style 2 over 5 end style dan sin A cos B - cos A sin B= 5a. Tentukan nilai a.

  1. ....

  2. .... 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight A space sin space straight B end cell equals cell 2 over 5 end cell row cell straight A subscript depan over miring straight B subscript depan over miring end cell equals cell 2 over 5 end cell row cell miring squared end cell equals 5 row miring equals cell square root of 5 end cell row blank blank blank row miring equals cell square root of straight A subscript depan squared plus straight B subscript depan squared end root end cell row cell square root of 5 end cell equals cell square root of straight A subscript depan squared plus straight B subscript depan squared end root end cell row 2 equals cell straight A subscript depan space straight B subscript depan end cell row cell straight A subscript depan end cell equals 2 row cell straight B subscript depan end cell equals 1 end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight A space cos space straight B minus cos space straight A space sin space straight B end cell equals cell 5 straight a end cell row cell straight A subscript depan over miring straight B subscript samping over miring minus straight A subscript samping over miring straight B subscript depan over miring end cell equals cell 5 straight a end cell row cell straight A subscript depan over miring straight A subscript depan over miring minus straight B subscript depan over miring straight B subscript depan over miring end cell equals cell 5 straight a end cell row cell straight A subscript depan squared over miring squared minus straight B subscript depan squared over miring squared end cell equals cell 5 straight a end cell row cell 2 squared over square root of 5 squared minus 1 squared over square root of 5 squared end cell equals cell 5 straight a end cell row cell 3 over 5 end cell equals cell 5 straight a end cell row cell 3 over 25 end cell equals straight a end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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