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Pertanyaan

Titik left parenthesis square root of 2 comma square root of 6 right parenthesis space jika diubah dalam koordinat kutub menjadi...

  1. open parentheses 2 square root of 2 comma 30 degree close parentheses

  2. open parentheses 2 square root of 2 comma 45 degree close parentheses

  3. open parentheses 2 square root of 2 comma 60 degree close parentheses

  4. open parentheses 2 square root of 2 comma 120 degree close parentheses

  5. open parentheses 2 square root of 2 comma 150 degree close parentheses

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

koordinat kutubnya adalah space open parentheses 2 square root of 2 comma space 60 degree close parentheses

Pembahasan

open parentheses square root of 2 comma square root of 6 close parentheses rightwards arrow straight x equals square root of 2 space dan straight y equals square root of 6

straight r equals square root of straight x squared plus straight y squared end root  equals square root of open parentheses square root of 2 close parentheses squared plus open parentheses square root of 6 close parentheses squared end root equals square root of 2 plus 6 end root equals square root of 8 equals 2 square root of 2  tanθ equals straight y over straight x equals fraction numerator square root of 6 over denominator square root of 2 end fraction straight x fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator square root of 12 over denominator 2 end fraction equals square root of 3

tanθ spacebernilai square root of 3 space untuk space straight theta space equals space 60 degree

Jadi koordinat kutubnya adalah space open parentheses 2 square root of 2 comma space 60 degree close parentheses

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