contestada

Transform each polar equation to an equation in rectangular form.

A. theta=pi/3

Part I: Use the conversion rules to express x and y in terms of r. You should
have two equations after this step.

Part II:Use the ratio (y/x) to find the slope of the line defined by this
equation.

Part III: Write the equation of the line in slope-intercept form.

Respuesta :

Lanuel

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: https://brainly.com/question/2193539

#SPJ1

Otras preguntas