Mathematics 0580 · IGCSE · Trigonometric functions

Trigonometric functions — practice question

(a)[3]

For the circle with centre $O$, the minor arc $PQ$ has length $\frac{3}{7}$ of the major arc $PQ$. Show that $x = 108$.

(b(i))[2]

Show that $\pi y = 360\sin y$.

(b(ii))[3]

Fill in the table, with answers correct to two decimal places.

(b(iii))[1]

Complete the statement. The value of $y$, correct to one decimal place, which satisfies $360 \sin y = \pi y$ is ................................

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: $360\times\frac{3}{10}=108$

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