Polar to rectangular equation calculator

How do you calculate polar and rectangular?

In general, to convert between polar and rectangular coordinates use the following rules: x = r cos(θ) y = r sin(θ) r = (x2 + y2)1/2.

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 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 polar coordinates work?

The polar coordinates of a point describe its position in terms of a distance from a fixed point (the origin) and an angle measured from a fixed direction which, interestingly, is not “north” (or up on a page) but “east” (to the right). That is in the direction Ox on Cartesian axes.

How do you convert to rectangular coordinates?

To convert from polar coordinates to rectangular coordinates, use the formulas x=rcosθ and y=rsinθ.

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°).

What is polar form?

The polar form of a complex number is another way to represent a complex number. The form z=a+bi is called the rectangular coordinate form of a complex number. The horizontal axis is the real axis and the vertical axis is the imaginary axis.

How do you do polar coordinates on a calculator?

Enter the number or expression, then ►Rect . To convert an answer to polar form: Enter the number or expression, then ►Polar . The calculator will display the angle (part of the exponent on e) in radians or degrees according to how you set the mode.

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.

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