Question

What is the rectangular form of the polar equation? θ=−7π/6

Answer 1

Answer:

The rectangular form of the equation is:

y = 0.5774x

Step-by-step explanation:

Given Polar Equation

$\theta=\frac{7\pi}{6}$

Convert it into rectangular form.

If (r,θ) are the polar coordinates, then the corresponding rectangular coordinates are (x,y), such that:

$x=rcos\theta, y=rsin\theta$

where tanθ can be taken as:

$tan\theta=\frac{y}{x}$

Here

$\theta=\frac{7\pi}{6}$

So

$tan\frac{7\pi}{6}=\frac{y}{x}$

$\frac{\sqrt{3} }{3}=\frac{y}{x}\\\\y=0.5774x$