Respuesta :
Answer:
Step-by-step explanation:
[tex]x=r~ cos~ \theta=r~ cos~ (\pi /3)==r/2\\y=r~ sin ~\theta=r~sin~(\frac{\pi }{3} )=\frac{\sqrt{3} }{2} r\\so~ rectangular ~coordinates~are~(\frac{r}{2} ,\frac{\sqrt{3} r }{2} )[/tex]
The equation in rectangular form is -√3 x + y = 0
How to convert equation from polar to rectangular form?
Complex value z is written in a rectangular form as z = x+iy where (x, y) is the rectangular coordinates.
On converting the rectangluar to polar form of the complex number;
x = rcosθ and y = rsinθ
Substituting in the rectangular form of the complex number above;
z = rcosθ + irsinθ
z = r(cosθ+isinθ)
r is the modulus of the complex number and θ is the argument
r =√x²+y² and θ = tan⁻¹y/x
Polar form:
Theta = π /3
tan (Theta) = y /x
tan π/3 = y/x
√3 = y/x
y = √3 x
The equation in rectangular form:
-√3 x + y = 0
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