Which equation represents the rectangular form of theta is equal to 5 pi over 6 ?
Answer
A
square root of 3 x plus y is equal to 0
B
square root of 3 x minus y is equal to 0
C
square root of 3 x plus 3 y is equal to 0
D
square root of 3 x minus 3 y is equal to 0
Explanation
For a point at angle θ, its rectangular coordinates satisfy y/x = tan θ. Since tan(5π/6) = −1/√3, we get y = −x/√3. Multiplying by 3 gives √3x + 3y = 0, which is choice C.
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