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Koordinat kutub dari  adalah...

Pertanyaan

Koordinat kutub dari left parenthesis 10 square root of 3 comma negative 10 right parenthesis adalah...

  1. left parenthesis 20 comma space 330 degree right parenthesis 

  2. left parenthesis 20 comma space 300 degree right parenthesis 

  3. left parenthesis 20 comma space 150 degree right parenthesis 

  4. left parenthesis 20 comma space 210 degree right parenthesis 

  5. left parenthesis 20 comma space 315 degree right parenthesis 

Pembahasan Soal:

Pada koordinat kartesius left parenthesis 10 square root of 3 comma negative 10 right parenthesis, diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row x equals cell 10 square root of 3 end cell row y equals cell negative 10 end cell row r equals cell square root of x squared plus y squared end root space end cell row blank equals cell square root of left parenthesis 10 square root of 3 right parenthesis squared plus left parenthesis negative 10 right parenthesis squared end root end cell row blank equals cell square root of 300 plus 100 end root end cell row blank equals cell square root of 400 end cell row blank equals 20 end table 

Koordinat left parenthesis 10 square root of 3 comma negative 10 right parenthesis berada di kuadran IV, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space theta end cell equals cell y over x end cell row cell tan space theta end cell equals cell fraction numerator negative 10 over denominator 10 square root of 3 end fraction end cell row cell tan space theta end cell equals cell fraction numerator negative 1 over denominator square root of 3 end fraction end cell row cell tan space theta end cell equals cell fraction numerator negative 1 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row cell tan space theta end cell equals cell fraction numerator negative 1 over denominator 3 end fraction square root of 3 end cell row theta equals cell tan to the power of negative 1 end exponent left parenthesis fraction numerator negative 1 over denominator 3 end fraction square root of 3 right parenthesis end cell row theta equals cell 330 degree end cell end table 

Sehingga koordinat kutub dari left parenthesis 10 square root of 3 comma negative 10 right parenthesis adalah left parenthesis 20 comma space 330 degree right parenthesis.

Jadi, jawaban yang benar adalah A.  

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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