Polar Equations to Rectangular Equations, Precalculus, Examples and Practice Problems

This precalculus video tutorial explains how to convert polar equations to rectangular equations. It contains plenty of examples and practice problems. In polar form, the equation contains the variables r and theta which is the radius and the angle of the vector. In rectangular form, coordinates are represented by x and y.

Solving Trig Equations - Finding All Solutions:

Solving Trig Equations With Multiple Angles:

Solving Trig Equations With Double Angles:

Law of Sines:

More Examples - Law of Sines:

Area of an Oblique Triangle:

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The Height of a Triangle - Heron's Formula:

Law of Cosines:

Polar Coordinates:

Rectangular Equations to Polar Equations:

How To Graph Polar Equations:

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Complex Numbers - De Moivre's Theorem:

Dot Product of Two Vectors:

Trigonometry Final Exam Review:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

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[CohenAHuff]

for the problem around 15:30, I divided by sintheta like he did, but instead of playing around with tangents, I multiplied the left side by r/r which was a lot less messy for me

[georgesadler]

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Thank you! This is the best explanation of polar equations yet that I've encountered.

[stevegreen]

the problem around 15:00 can also done by dividing R by sin^2

R sin^2 = 5 cos
multiply both sides by R
R^2 sin^2 = R 5cos
Rsin * Rsin = R5cos
y^2 = x

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