Question
Find the values of : sin 150°

Answer

$\begin{aligned}
& \sin 15^{\circ}=\sin \left(45^{\circ}-30^{\circ}\right) \\
& =\sin 45^{\circ} \cos 30^{\circ}-\cos 45^{\circ} \sin 30^{\circ} \\
& \left(\frac{1}{\sqrt{2}}\right)\left(\frac{\sqrt{3}}{2}\right)-\left(\frac{1}{\sqrt{2}}\right)\left(\frac{1}{2}\right)=\frac{\sqrt{3}-1}{2 \sqrt{2}}
\end{aligned}$
[Note: Answer given in the textbook is $\frac{\sqrt{3}+1}{2 \sqrt{2}}$ However, as per our calculation it is $\frac{\sqrt{3}-1}{2 \sqrt{2}}$

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