# How do you convert Rectangular to Polar on a calculator?

## How do you convert Rectangular to Polar on a calculator?

To convert (x, y) from rectangular to polar form on the TI-83 Plus graphing calculator:

1. Press [2nd][APPS] to access the Angle menu.
2. Press  to select the.
3. Enter the point (x, y) and press [ENTER] to display r in the.
4. Press [2nd][APPS] to select the.
5. Enter the point (x, y) and press [ENTER] to display.

## How do you convert rectangular equation to polar form?

To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ . Step 1: Substitute for x and y in x2 + y2 = 16 and solve for r. r2(1) = 16 Trig id.

How do you convert from Polar to Rectangular?

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

How do you convert rectangular form to polar form without a calculator?

Converting from Polar Form to Rectangular 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.

### How do you convert to polar?

To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √ ( x2 + y2 )
2. θ = tan-1 ( y / x )

### What is the polar form of the equation?

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 .

What is 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. These equations may or may not be graphed on Cartesian plane.

How do you solve for polar coordinates?

Summary. To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) : x = r × cos( θ ) y = r × sin( θ )

## What is the formula of rectangular?

Area of Rectangle Formula

The formula for the Area of a Rectangle
The perimeter of a Rectangle P= 2(l + b)
Area of a Rectangle A = l × b

## How do you convert polar coordinate to rectangular?

To convert from polar to rectangular coordinates, use the trigonometric ratios and where r is the hypotenuse of the right triangle. The rectangular form of the polar coordinate (r, θ) is (rcos θ, rsin θ).

How to convert rectangular to polar?

To convert from rectangular to polar, find the polar magnitude through the use of the Pythagorean Theorem (the polar magnitude is the hypotenuse of a right triangle, and the real and imaginary components are the adjacent and opposite sides, respectively), and the angle by taking the arctangent of the imaginary component divided by the real component:

How do you convert complex numbers to polar form?

To write the polar form of a complex number start by finding the real (horizontal) and imaginary (vertical) components in terms of r and then find θ (the angle made with the real axis). Conversion Formula for rectangular to polar x + yi = r(cos θ + i sin θ) Example 1: convert 5 + 2i to polar form.

### How to convert Cartesian to polar?

Formula to Convert Cartesian Coordinates to Polar Coordinate To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ): r = √ (x 2 + y 2) θ = tan -1 (y / x)