# How do you convert a polar coordinate to a rectangular coordinate?

## How do you convert a polar coordinate to a rectangular coordinate?

How to: Given polar coordinates, convert to rectangular coordinates.

1. Given the polar coordinate (r,θ), write x=rcosθ and y=rsinθ.
2. Evaluate cosθ and sinθ.
3. Multiply cosθ by r to find the x-coordinate of the rectangular form.
4. Multiply sinθ by r to find the y-coordinate of the rectangular form.

### How do you convert polar coordinates to Cartesian coordinates in C++?

y = r * sin(θ) Code : class cartesian { float x,y; public: cartesian(){} cartesian(polar p) { x = p.r * cos(p.th); y = p.r * sin(p.th); } void show() { cout<<“\n\nIn Cartesian form : \nx=”<<x<<” and y=”<<y; } };</p>

How will you convert one UDT to another UDT for sample conversion of polar to Cartesian system?

Follow the steps below to solve the problem:

1. Convert θ from degrees to radian as θ(in radian) = θ (in degrees) * (3.14159 / 180).
2. Store the x and y coordinate in a variable X and Y respectively.
3. Apply transformation formula and update the value of X = r * cosθ and Y = r * sinθ.
4. Print the value of X and Y as the result.

How do you convert from Polar to vector?

To convert to polar form, we need to find the magnitude of the vector, , and the angle it forms with the positive -axis going counterclockwise, or . This is shown in the figure below. To find the magnitude of a vector, we add up the squares of each component and take the square root: .

## How do you change from rectangular to Polar on a TI 83 Plus?

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 convert polar to components?

Conversion between the two notational forms involves simple trigonometry. 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 are polar coordinates different from rectangular coordinates?

One big difference between polar and rectangular coordinates is that polar coordinates can have multiple coordinates representing the same point by adjusting the angle θ or the sign of r and the angle θ.

How do you convert rectangular to polar?

• Press[5]to select the.
• Enter the point (x,y) and press[ENTER]to display r in the.
• Press[2nd][APPS][6]to select the.
• Enter the point (x,y) and press[ENTER]to display.
• ## How to convert from rectangular to polar form?

Rectangular to Polar Form Conversion. Rectangular form of a vector, v = a + jb. where a is the real axis value and b is the value of an imaginary axis. To find the Phasor magnitude V, calculate the modulus of vector a + jb. Magnitude of vector, V = √ a 2 + b 2. To find the angle of a vector with respect to the horizontal axis, θ = tan -1 (b/a).

### How to convert Cartesian coordinates to polar?

x x -axis are chosen as the pole and the directed line, respectively, when converting the coordinates. Then, how can we convert Cartesian coordinates to polar coordinates? We can employ the Pythagorean theorem and a trigonometric function. That is, θ = arctan ⁡ y x. . However, it is not enough because the tangent function does not have its inverse.

How to go from Cartesian to polar?

Start by setting up the formula for conversion. x = r⋅ cos(θ) y = r ⋅sin(θ)

• Substitute the radius and angle of the polar coordinates into the formula. x = (1)cos(81 ​ τ) y = (1)sin(81 ​ τ)
• Calculte the result of the multiplication. x = 0.70710678118… y = 0.70710678118… Then since 2 ​ = 0.70710678118
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