2023 HCI P1 Q2
In the triangle $PQR$, angle $PQR=\frac{\pi }{3}$ radians and angle $PRQ=\frac{\pi }{3}-\theta $ radians, where $\theta $ is small enough for ${{\theta }^{3}}$ and higher powers of $\theta $ to be negligible.
Show that $\frac{PR}{PQ}\approx 1+\alpha \theta +\beta {{\theta }^{2}}$, where$\alpha $ and $\beta $ are exact real constants to be determined.
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