Advanced Trigonometry, SMB-028 Find all the values of \(\theta\), where \(0^{\circ} \leq \theta \leq 360^{\circ}\), such that \(\sin\,\theta=-\dfrac{\sqrt{3}}{2}\) (2 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=240^{\circ}, 300^{\circ}\) Show Worked Solution \(\text{Reference angle:}\ \ \sin\,\theta=\dfrac{\sqrt{3}}{2}\ \ \Rightarrow \ \ \theta = 60^{\circ}\) \(\text{sin is negative in 3rd/4th quadrants.}\) \(\theta=(180+60)^{\circ}, (360-60)^{\circ}=240^{\circ}, 300^{\circ}\)