Advanced Trigonometry, SMB-038 Identify all \(\theta\) values between \(0^{\circ} \leq \theta \leq 360^{\circ}\), such that \(\tan\,\theta=-\dfrac{1}{\sqrt{3}} \) (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=150^{\circ}, 330^{\circ}\) Show Worked Solution \(\text{Reference angle:}\ \ \tan\,\theta=\dfrac{1}{\sqrt{3}}\ \ \Rightarrow \ \ \theta = 30^{\circ}\) \(\text{tan is negative in 2nd/4th quadrants.}\) \(\theta=(180-30)^{\circ}, (360-30)^{\circ}=150^{\circ}, 330^{\circ}\)