Advanced Trigonometry, SMB-029 Find all the values of \(\theta\), where \(0^{\circ} \leq \theta \leq 360^{\circ}\), such that \(\sin\,\theta=-\dfrac{1}{\sqrt{2}}\) (2 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=225^{\circ}, 315^{\circ}\) Show Worked Solution \(\text{Reference angle:}\ \ \sin\,\theta=\dfrac{1}{\sqrt{2}}\ \ \Rightarrow \ \ \theta = 45^{\circ}\) \(\text{sin is negative in 3rd/4th quadrants.}\) \(\theta=(180+45)^{\circ}, (360-45)^{\circ}=225^{\circ}, 315^{\circ}\)