A Level Further Maths Core Pure Year 2 Chapter 5: Mini test

r = aθ

• Half line
• Circle
• Spiral
• Flower

r=2cosθ

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Which will have 6 petals?

• sin 3θ

• sin 6θ

• None of them!
• cos 6θ

When is r = a(p + q cosθ) egg shape?

• p = q

• p < q

• q < p < 2q

• p ≥ 2q

A tangent is parallel to the initital line (horizontal) when

• dy/dθ = 0

• dθ/dy = 0

• dx/dθ = 0

• dθ/dx = 0