Mathematics 0580 · IGCSE · Trigonometric functions

Trigonometric functions — practice question

The diagram depicts a regular hexagon $ABCDEF$ with side length 10 cm.
(a(i))[2]

Show that the angle $BAF$ is $120^\circ$.

(a(ii))[3]

Use trigonometry to determine the length of $PQ$ in terms of $x$.

(a(iii))[3]

Show that the length $PS$ is $(20-x)$ cm.

(b)[4]

Use the results from part (a)(ii) and part (a)(iii) to determine the length of one side of the square.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate area expression

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