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Oduvanchick [21]
2 years ago
10

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

Mathematics
1 answer:
kobusy [5.1K]2 years ago
6 0

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

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