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Sagot :
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
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