Polar to Rectangular Calculator

FAQs

1. How do you convert a polar equation to rectangular form?

• To convert a polar equation (r, θ) to rectangular form (x, y), you can use the following formulas:
  • x = r * cos(θ)
  • y = r * sin(θ)

2. How do you convert from polar to rectangular on a calculator?

• Most scientific calculators have functions for trigonometric operations. You can input the values of r and θ, then use the cosine and sine functions to calculate x and y.

3. How do you find the polar form of a rectangular equation?

• To find the polar form of a rectangular equation (x, y), you can use the following formulas:
  • r = √(x^2 + y^2)
  • θ = arctan(y / x)

4. How to convert polar form to rectangular form in complex numbers?

• For complex numbers in polar form (r, θ), you can convert to rectangular form (x, y) using:
  • x = r * cos(θ)
  • y = r * sin(θ)

5. What is the formula for a rectangular equation?

• A rectangular equation is typically represented as y = f(x), where f(x) is a mathematical function.

6. How do you change from polar coordinates to rectangular on a TI 84?

• On a TI-84 calculator, you can use the “cos” and “sin” trigonometric functions to convert from polar to rectangular coordinates. Input r and θ, and use these functions to calculate x and y.

7. What is the conversion between polar and rectangular?

• The conversion between polar (r, θ) and rectangular (x, y) coordinates involves trigonometric functions as mentioned earlier.

8. What is the pol function on a calculator?

• The “pol” function typically doesn’t exist on calculators. Polar to rectangular conversion is done using trigonometric functions like “cos” and “sin.”

9. How do you solve polar forms?

• To solve problems involving polar forms, you use trigonometric functions and formulas mentioned in the previous answers, depending on whether you’re converting to or from polar form.

10. What is the form of the polar equation? – The form of a polar equation is typically represented as r = f(θ), where r is the radius and θ is the angle.

11. How do you convert rectangular form to polar form in Matlab? – In MATLAB, you can use the “cart2pol” function to convert rectangular coordinates to polar coordinates.

12. How do you convert polar form to exponential form? – To convert polar form (r, θ) to exponential form (a + bi), you can use Euler’s formula: a + bi = r * (cos(θ) + i * sin(θ)).

13. How to convert complex number from polar form to standard form? – To convert a complex number from polar form (r, θ) to standard form (a + bi), you can use Euler’s formula as mentioned in the previous answer.

14. How do you add polar form? – To add complex numbers in polar form, you can add their magnitudes and sum their angles (θ).

15. How do you convert to a polar equation? – To convert a rectangular equation (x, y) to a polar equation, you use the formulas mentioned earlier: r = √(x^2 + y^2) and θ = arctan(y / x).

16. What is Z in polar coordinates? – In polar coordinates, Z typically represents a complex number in the form Z = r * (cos(θ) + i * sin(θ)), where r is the magnitude and θ is the angle.

17. What are the two formulas for a rectangle? – The two formulas for calculating the area and perimeter of a rectangle are: – Area: A = length * width – Perimeter: P = 2 * (length + width)

18. What is Polar mode on TI-84? – The Polar mode on a TI-84 calculator allows you to perform calculations using polar coordinates, including converting between polar and rectangular forms.

19. How are polar coordinates related to rectangular coordinates? – Polar coordinates (r, θ) and rectangular coordinates (x, y) are related through trigonometric functions, as described in previous answers.

20. How do you convert polar form to rectangular form in Excel? – In Excel, you can use formulas to convert polar coordinates to rectangular coordinates. For example, if you have radius (r) in cell A1 and angle (θ) in cell B1, you can use the following formulas: – x: =A1 * COS(RADIANS(B1)) – y: =A1 * SIN(RADIANS(B1))