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Koordinat kartesius  diubah ke dalam koordinat kut...

Koordinat kartesius begin mathsize 14px style straight P left parenthesis negative 1 comma square root of 3 right parenthesis end style diubah ke dalam koordinat kutub adalah ...

  1. begin mathsize 14px style open parentheses 2 comma space 60 degree close parentheses end style  

  2. begin mathsize 14px style open parentheses 2 comma space 120 degree close parentheses end style 

  3. begin mathsize 14px style open parentheses 2 comma space 150 degree close parentheses end style 

  4. begin mathsize 14px style open parentheses 2 comma space 300 degree close parentheses end style 

  5. begin mathsize 14px style open parentheses 2 comma space 330 degree close parentheses end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row x equals cell negative 1 comma space y equals square root of 3 end cell row r equals cell square root of x squared plus y squared end root end cell row r equals cell square root of left parenthesis negative 1 right parenthesis squared plus open parentheses square root of 3 end root close parentheses to the power of 2 end exponent end root end cell row blank equals cell square root of 1 plus 3 end root end cell row blank equals cell square root of 4 end cell row blank equals 2 end table end style 

begin mathsize 14px style cos space alpha equals y over r equals fraction numerator square root of 3 over denominator 2 end fraction equals 1 half square root of 3 equals 30 degree end style 

Karena begin mathsize 14px style x end style bernilai negatif maka titik begin mathsize 14px style P end style berada di kuadran II, sehingga:

begin mathsize 14px style 180 degree minus 30 degree equals 150 degree end style.

Didapat koordinat polar begin mathsize 14px style P open parentheses 2 comma 150 degree close parentheses end style.

Jadi, jawaban yang tepat adalah C.

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