Polar & rectangular forms of complex numbers
12:16
Khan AcademySal Khan
Polar & rectangular forms of complex numbers
Learn how to convert a complex number from rectangular form to polar form. This video covers how to find the distance (r) and direction (theta) of the complex number on the complex plane, and how to use trigonometric functions and the Pythagorean theorem to make the conversion.
Mar 26, 2014
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6K views · 650 reactions | The Surprising Pattern Hidden in This Messy Square Root √((89)(90)(91)(92) + 1) looks like something you’d need a calculator for. But if you spot the pattern, it collapses beautifully. Let the middle number be x. Then the others are x−1, x, x+1, x+2. Multiply, regroup, and it all simplifies to x² + x − 1. For x = 90, that’s 8,189 — no calculator required. #AlgebraTricks #MathShortcuts #PatternRecognition | polymathematic | Facebook
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6K views · 650 reactions | The Surprising Pattern Hidden in This Messy Square Root √((89)(90)(91)(92) + 1) looks like something you’d need a calculator for. But if you spot the pattern, it collapses beautifully. Let the middle number be x. Then the others are x−1, x, x+1, x+2. Multiply, regroup, and it all simplifies to x² + x − 1. For x = 90, that’s 8,189 — no calculator required. #AlgebraTricks #MathShortcuts #PatternRecognition | polymathematic | Facebook
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