Question

2x/y - y/2 = -1/6 and x/2 + 2/3y =3

Answer 1

Step-by-step explanation:

To convert the equation into polar coordinates, subsitute r × cos (Φ) for x and r × sin (Φ) for y.

$\frac{2r \times \cos(o) }{r \times \sin(o) } - \frac{r \times \sin(o) }{2} = \frac{ - 1}{6}$

Reduce the fraction with r.

$\frac{2 \times \cos(o) }{ \sin(o) } - \frac{r \sin(o) }{2} = \frac{ - 1}{6}$

Multiply both sides of the equation by 6sin (Φ).

12cos (Φ) = 3sin (Φ)² × r = -sin (Φ)

Move the expression to the right hand sign and change its sign.

-3sin (Φ)² × r = -sin (Φ) - 12cos (Φ)

Divide both sides of the equation by