Convert polar coordinates to rectangular coordinates | Summary and Q&A

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February 18, 2018
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blackpenredpen
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Convert polar coordinates to rectangular coordinates

TL;DR

Learn how to convert polar coordinates to rectangular coordinates using the formulas x = r * cos(theta) and y = r * sin(theta).

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Questions & Answers

Q: How are polar coordinates represented?

Polar coordinates are represented as (r, theta), where r is the distance from the origin and theta is the angle.

Q: What formulas are used to convert polar coordinates to rectangular coordinates?

The formulas used are x = r * cos(theta) and y = r * sin(theta).

Q: How does the x-coordinate represent the horizontal distance?

The x-coordinate represents the horizontal distance from the origin.

Q: What does the y-coordinate represent in rectangular coordinates?

The y-coordinate represents the vertical distance from the origin.

Summary & Key Takeaways

  • Polar coordinates are represented as (r, theta), where r is the distance from the origin and theta is the angle.

  • To convert polar coordinates to rectangular coordinates, use the formulas x = r * cos(theta) and y = r * sin(theta).

  • The x-coordinate represents the horizontal distance and the y-coordinate represents the vertical distance.

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