Advanced Trigonometry, SMB-041 Identify all \(\theta\) values between \(0^{\circ} \leq \theta \leq 360^{\circ}\), such that \(\tan\,\theta +1=0\) (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\theta=135^{\circ}, 315^{\circ}\) Show Worked Solution \(\tan\,\theta +1=0\ \ \Rightarrow \ \ \tan\,\theta=-1\) \(\text{Reference angle:}\ \ \tan\,\theta=1\ \ \Rightarrow \ \ \theta = 45^{\circ}\) \(\text{tan is negative in 2nd/4th quadrants.}\) \(\theta=(180-45)^{\circ}, (360-45)^{\circ}=135^{\circ}, 315^{\circ}\)