Polar to rectangular equation

How do you convert rectangular form to polar form?

To convert from polar to rectangular, find the real component by multiplying the polar magnitude by the cosine of the angle, and the imaginary component by multiplying the polar magnitude by the sine of the angle.

What is a rectangular equation?

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on a regular Cartesian plane. For example y=4x+3 is a rectangular equation.

What is polar equation?

Polar Equations A polar equation is any equation that describes a relation between r r r and θ theta θ, where r r r represents the distance from the pole (origin) to a point on a curve, and θ theta θ represents the counterclockwise angle made by a point on a curve, the pole, and the positive x x x-axis.

What is polar and rectangular form?

In Rectangular Form a complex number is represented by a point in space on the complex plane. In Polar Form a complex number is represented by a line whose length is the amplitude and by the phase angle.

How do you solve polar form?

The polar form of a complex number z=a+bi is z=r(cosθ+isinθ) , where r=|z|=√a2+b2 , a=rcosθ and b=rsinθ , and θ=tan−1(ba) for a>0 and θ=tan−1(ba)+π or θ=tan−1(ba)+180° for a<0 . Example: Express the complex number in polar form. The polar form of a complex number z=a+bi is z=r(cosθ+isinθ) .

How do you divide polar form?

To multiply complex numbers in polar form, multiply the magnitudes and add the angles. To divide, divide the magnitudes and subtract one angle from the other.

How do you divide a rectangular form?

1.4 Division: Rectangular Form The trick is to multiply by the number 1, in a special form that simplifies the denominator to be a real number and turns division into multiplication. You should try this by writing out the real an imaginary components separately.

Are Cartesian and rectangular coordinates the same?

The Cartesian coordinates (also called rectangular coordinates) of a point are a pair of numbers (in two-dimensions) or a triplet of numbers (in three-dimensions) that specified signed distances from the coordinate axis.

What are polar coordinates in math?

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. Angles in polar notation are generally expressed in either degrees or radians (2π rad being equal to 360°).

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