Answer:
The rectangular form of the equation is:
y = 0.5774x
Step-by-step explanation:
Given Polar Equation
[tex]\theta=\frac{7\pi}{6}[/tex]
Convert it into rectangular form.
If (r,θ) are the polar coordinates, then the corresponding rectangular coordinates are (x,y), such that:
[tex]x=rcos\theta, y=rsin\theta[/tex]
where tanθ can be taken as:
[tex]tan\theta=\frac{y}{x}[/tex]
Here
[tex]\theta=\frac{7\pi}{6}[/tex]
So
[tex]tan\frac{7\pi}{6}=\frac{y}{x}[/tex]
[tex]\frac{\sqrt{3} }{3}=\frac{y}{x}\\\\y=0.5774x[/tex]
