Roboguru

Bayangan titik  oleh rotasi titik pusat dengan sud...

Bayangan titik begin mathsize 14px style open parentheses negative 4 comma 5 close parentheses end style oleh rotasi titik pusat dengan sudut putar begin mathsize 14px style 30 degree end style adalah...undefined 

Jawaban:

Perhatikan penghitungan berikut!

begin mathsize 14px style Diasumsikan space titik space pusat space straight O left parenthesis 0 comma 0 right parenthesis. Suatu space titik space left parenthesis negative 4 comma 5 right parenthesis space dirotasikan space sejauh space 30 degree space dengan space titik space pusat space straight O open parentheses 0 comma 0 close parentheses maka space akan space menjadi colon open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell cos space theta end cell cell negative sin space theta end cell row cell sin space theta end cell cell cos space theta end cell end table close parentheses open parentheses table row x row y end table close parentheses open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell cos space 30 degree end cell cell negative sin space 30 degree end cell row cell sin space 30 degree end cell cell cos space 30 degree end cell end table close parentheses open parentheses table row cell negative 4 end cell row 5 end table close parentheses open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell 1 half square root of 3 end cell cell negative 1 half end cell row cell 1 half end cell cell 1 half square root of 3 end cell end table close parentheses open parentheses table row cell negative 4 end cell row 5 end table close parentheses open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell negative 2 square root of 3 minus 5 over 2 end cell row cell negative 2 plus 5 over 2 square root of 3 end cell end table close parentheses space end style 

Jadi, bayangannya adalah begin mathsize 14px style open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell negative 2 square root of 3 minus 5 over 2 end cell row cell negative 2 plus 5 over 2 square root of 3 end cell end table close parentheses space end style   

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