Question

Transform each polar equation to an equation in rectangular form.

Answer 1

The equation of the line in slope-intercept form is equal to y = √3x + b.

How to transform polar coordinates to rectangular coordinates?

In geometry, the relationship between a rectangular coordinate (x, y) and a polar coordinate (r, θ) based on the conversion rules is given by these polar functions:

x = rcosθ    ....equation 1.

y = rsinθ     ....equation 2.

Where:

• θ is the angle.

• r is the radius of a circle.

Also, the slope from this angle is given by:

θ = tan⁻¹(y/x)

tan⁻¹ (π/3) = (y/x)

√3 = (y/x)

y = √3x

Mathematically, the equation of the line in slope-intercept form is given by this formula;

y = √3x + b.

Read more on polar coordinates here: brainly.com/question/2193539

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