Advanced Trigonometry, SMB-027 Find all the values of \(\theta\), where \(0^{\circ} \leq \theta \leq 360^{\circ}\), such that \(\sin\,\theta=\dfrac{1}{2}\) (2 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=30^{\circ}, 150^{\circ}\) Show Worked Solution \(\text{Reference angle:}\ \ \sin\,\theta=\dfrac{1}{2}\ \ \Rightarrow \ \ \theta = 30^{\circ}\) \(\text{sin is positive in 1st/2nd quadrants.}\) \(\theta=30^{\circ}, (180-30)^{\circ}=30^{\circ}, 150^{\circ}\)