# Polar Coordinates – Edexcel FP2

#### 7. Polar Coordinates – Edexcel Further Pure Mathematics 2 (FP2)

What students need to learn:
Polar coordinates $$(r, \theta), r \geq 0$$.
The sketching of curves such as
$$\theta = \alpha$$, $$r = p sec (\alpha – \theta)$$, $$r = a$$,
$$r = 2a \cos \theta$$, $$r = k\theta$$, $$r = a(1 \pm \cos \theta$$),
$$r = a(3 + 2 \cos \theta)$$, $$r = a \cos 2\theta$$ and
$$r^2 = a^2 \cos 2\theta$$ may be set.

Use of the formula $$\dfrac{1}{2}\displaystyle\int_{\alpha}^{\beta} r^2 d\theta$$ for area.
The ability to find tangents parallel to, or at right angles to, the initial line is expected.