(a) On the Venn diagrams below, shade the region indicated. (b) $$ \begin{aligned} \mathscr{E} &= \{x : 0^\circ \leq x \leq 360^\circ\} \\ P &= \{x : \cos 2x = 0.5\} \\ Q &= \{x : \sin x = 0.5\} \end{aligned} $$ Find $P \cap Q$.

Additional Mathematics 4037/12 — May/June 2019

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Topics Calculus · Trigonometry · Simultaneous equations · Logarithmic and exponential functions · Straight-line graphs · [Legacy] Set language and notation · +5 more

Q1[Legacy] Set language and notationTrigonometryFree sample

(a)

On the Venn diagrams below, shade the region indicated.

Fig. 1

(b)

\begin{aligned} \mathscr{E} &= \{x : 0^\circ \leq x \leq 360^\circ\} \\ P &= \{x : \cos 2x = 0.5\} \\ Q &= \{x : \sin x = 0.5\} \end{aligned}

Find $P \cap Q$ .

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