Advanced Trigonometry, SMB-039 Find every angle, \(\theta\), between \(0^{\circ} \leq \theta \leq 360^{\circ}\), for which \(\tan\,\theta=-\sqrt{3}\) (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=120^{\circ}, 300^{\circ}\) Show Worked Solution \(\text{Reference angle:}\ \ \tan\,\theta=-\sqrt{3}\ \ \Rightarrow \ \ \theta = 60^{\circ}\) \(\text{tan is negative in 2nd/4th quadrants.}\) \(\theta=(180-60)^{\circ}, (360-60)^{\circ}=120^{\circ}, 300^{\circ}\)