TMUA Sed (CoderLovesEggs) Paper 1 with Solutions · Question 3

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Sed (CoderLovesEggs) Paper 1 with Solutions · Q3

Paper 1TrigonometryGeometryFunctions & graphs

A regular hexagon $H$ has centre $O$ . Let $L$ be a line through $O$ which rotates clockwise continuously.

Denote $\theta$ as the total clockwise angle rotated by $L$ .

Denote $P,Q$ as the two points at which $L$ intersects $H$ .

It follows that the graph of the length of $PQ$ against $\theta$ has period:

15^\circ

;

30^\circ

;

60^\circ

;

120^\circ

;

180^\circ

;

360^\circ

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