Roboguru

Ubahlah titik-titik di bawah ini ke dalam koordina...

Ubahlah titik-titik di bawah ini ke dalam koordinat kutub!

b. begin mathsize 14px style straight B open parentheses 6 square root of 2 comma space 6 square root of 2 close parentheses end style

Jawaban:

Perhatikan perhitungan berikut.

Ingat, koordinat polar:

begin mathsize 14px style straight A open parentheses straight r comma space straight alpha close parentheses end style

dengan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row r equals cell square root of x squared plus y squared end root end cell row cell cos space alpha end cell equals cell x over r end cell end table end style

Perhatikan.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row r equals cell square root of x squared plus y squared end root end cell row blank equals cell square root of open parentheses 6 square root of 2 close parentheses squared plus open parentheses 6 square root of 2 close parentheses squared end root end cell row blank equals cell square root of open parentheses 36 times 2 close parentheses plus open parentheses 36 times 2 close parentheses end root end cell row blank equals cell square root of 72 plus 72 end root end cell row blank equals cell square root of 144 end cell row blank equals 12 end table end style

Didapatkan begin mathsize 14px style r end style sama dengan begin mathsize 14px style 12 end style. Sehingga:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space alpha end cell equals cell x over r end cell row cell cos space alpha end cell equals cell fraction numerator 12 over denominator 6 square root of 2 end fraction end cell row cell cos space alpha end cell equals cell fraction numerator 2 over denominator square root of 2 end fraction end cell row cell cos space alpha end cell equals cell 1 half square root of 2 end cell row alpha equals cell cos to the power of negative 1 end exponent space 1 half square root of 2 end cell row alpha equals cell 45 degree end cell end table end style

Jadi, koordinat kutub dari koordinat kartesius begin mathsize 14px style straight B open parentheses 6 square root of 2 comma space 6 square root of 2 close parentheses end style adalah begin mathsize 14px style straight B open parentheses 12 comma space 45 degree close parentheses 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