What is the polar equation for x 3?

Change to polar coordinates the equations x^3 = y^2 (2a – x).

What is X 3 as a polar coordinates?

x = 3 is the straight line parallel to y-axis, in the first and fourth quadrants, at a distance 3 from the y-axis. The polar forms of lines parallel to the axes are r=asecθ,θ∈(−π2,π2)andr=acscθ,θ∈(π,0) .

What is polar form of an equation?

The polar form of a complex number z=a+bi is z=r(cosθ+isinθ) . So, first find the absolute value of r . Now find the argument θ . Since a>0 , use the formula θ=tan−1(ba) .

How do you change X into polar form?

If a point (x,y) is written as (r,θ) in polar coordinates, then x=rosθ and y=rsinθ .

What is the polar equation of the vertical line x 5?

rcosθ=5 or r=5secθ

What are the polar coordinates for 3 3?

Since 0° ≤ θ < 360, therefore the value of θ is 45° and 225°. The two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360° are (3√2, 45°) and (3√2, 225°).

What is the polar equation of x 0?

Well, this coordinate point is the origin of both the Cartesian and polar coordinate planes, so the polar form is also (0,0) . We know: x=0. y=0.

What polar equation is equivalent to Y X?

The polar form is rsin(θ)=rcos(θ) . The points of the line y = x are given by r = 0 and sin(θ)=cos(θ) or, instead, θ=π4andθ=−3π4 .

What is expressexpressing (3/0) in polar coordinates?

Expressing (3,0) in polar coordinates. polar coordinates are written in the form (r,θ) were r is the straight line distance back to the origin and θ is the angle of the point, in either degrees or radians. The distance from (3,0) to the origin at ( 0,0) is 3. The positive x-axis is normally treated as being 0o / 0 radians ( or 360o / 2π radians).

How to convert polar equations to Cartesian coordinates?

To do it, simply polar coordinate calculator use the following polar equation to rectangular: $$ x = r * cos θ y = r * sin θ $$ The value y/x is the slope of the line that joining the pole and the arbitrary point. Example: Convert (r, θ) = (2, 9) to Cartesian coordinates.

What is the equation of polar form of a complex number?

In the case of a complex number, r signifies the absolute value or modulus and the angle θ is known as the argument of the complex number. The equation of polar form of a complex number z = x+iy is: θ=tan -1 (y/x)+180° for x<0 .

How to convert from rectangular to polar equation calculator?

So, rectangular to polar equation calculator use the following formulas for conversion: $$ r = \\sqrt{(x^2 + y^2)} $$ $$ θ = arctan (y/x) $$ Where, (x, y) rectangular coordinates; (r, θ) polar coordinates. The following restrictions by rectangular to polar calculator to convert the coordinates: r must be greater than or equal to 0;