Question

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

Answer 1

I did option d !!

Explanation:

Answer 2

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

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