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Unit 7.5 Mathematical Functions and Converting Between Polar and Rectangular

Multiplication and Division in Polar

Multiplication and division is much easier in polar format than rectangular.

To multiply in polar format, multiply the magnitudes (r) and add the arguments (θ)

Multiplying in Polar Format

Multiply 5 ∠ 30°  and 10 ∠ 15°

Multiply the magnitudes (r)

5 · 10 = 50

Add the arguments (θ)

30° + 15° = 45°

Combine

50 ∠ 45°

To multiply in polar format, divide the magnitudes (r) and subtract the arguments (θ)

Dividing in Polar Format

Divide 10 ∠ 50°  by  2 ∠ 26°

Divide the magnitudes (r)

10 ÷ 2 = 5

Subtract the arguments (θ)

50° – 26° = 24°

Combine

5 ∠ 24°

 

Addition and Subtraction

Addition and subtraction is straight forward in rectangular format but much more difficult in polar format. It is recommended that you convert to rectangular format to add and subtract then convert back

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ESET1140: Intermediate Technical Algebra Copyright © 2024 by froenico. All Rights Reserved.