7. Polar Coordinates – Edexcel Further Pure Mathematics 2 (FP2)
What students need to learn:
Polar coordinates (r,θ),r≥0.
The sketching of curves such as
θ=α, 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.
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