Advanced Trigonometry, 2ADV T2 EQ-Bank 5 Solve \(\sin x-\cos x=0 \quad-180^{\circ} \leqslant x \leqslant 180^{\circ}\) (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(x=45^{\circ}, -135^{\circ}\) Show Worked Solution \(\sin x-\cos x\) \(=0\) \(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\) \(=0\) \(\tan x-1\) \(=0\) \(\tan x\) \(=1\) \(x\) \(=\tan ^{-1}(1)\) \(\therefore x=45^{\circ}, -135^{\circ}\)