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Polar coordinates formulae

The 2 results the polar coordinates notes display, each with the conditions it needs to be true and a link to the lesson that states it. Of the 2, the formulae booklet prints 1 and 1 is yours to memorise.

Further Maths · 2 lessons with formulae.

A result the Edexcel formulae booklet prints is marked as such; one it does not print is marked to learn; and a result badged derived in the lesson is a working line the notes build in front of you rather than a standard result to memorise.

2 lessons

Polar curves

x = r \cos θ, y = r \sin θ, r^{2} = x^{2} + y^{2}

NOT IN THE BOOKLET: LEARN ITConditionsr ≥ 0, with the quadrant of θ chosen to match the signs of x and y rather than taken straight from a calculator.

Areas with polar coordinates

A = \frac{1}{2} \text{∫}_{α}^{β} r^{2} \, dθ

IN THE FORMULAE BOOKLETConditionsThe region swept between θ = α and θ = β, traced once, with r ≥ 0 throughout.

Every formula in the library is indexed by unit on the equation index, and the polar coordinates notes are where these results are derived and used. The one the booklet does not print is on the list of every formula to memorise, alongside the rest of the course.

Also: Hyperbolic functions formulae · Differential equations formulae