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Which equation represents the rectangular form of Theta = StartFraction 5 pi Over 6 EndFraction?
StartRoot 3 EndRoot x minus y = 0
StartRoot 3 EndRoot x + y = 0
StartRoot 3 EndRoot x minus 3 y = 0
StartRoot 3 EndRoot x + 3 y = 0

Sagot :

mhanifa

Answer:

  • D. StartRoot 3 EndRoot x + 3 y = 0   (or √3x + 3y = 0)

Step-by-step explanation:

This is about converting polar coordinate to rectangular

Relationship between coordinates is:

  • x = r cosθ
  • y = r sinθ

then

  • y/x = sinθ/cosθ
  • y/x = tanθ

We have θ = 5π/6, finding the value of tan:

  • tan 5π/6 = tan (π - π/6) = - 1/√3 = - √3/3

Substitute tan with its value:

  • y/x = -√3/3
  • 3y = -√3x
  • 3y + √3x = 0
  • √3x + 3y = 0

Correct option is D

Answer:

I did option d !!

Step-by-step explanation:

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