<ol class="abc-list"><li data-list-item-id="imported-item-block-0-item-0" data-list-item-path="imported-item-block-0-item-0"><div class="list-item-paragraph">Prove the identity \(\cot \theta - 1 = \frac{\cos 2\theta}{\sin \theta (\cos \theta + \sin \theta)}\).<span class="inline-marks">[3]</span></div></li><li data-list-item-id="imported-item-block-0-item-1" data-list-item-path="imported-item-block-0-item-1"><div class="list-item-paragraph">Hence solve the equation \(\frac{\cos 4\theta}{\sin 2\theta (\cos 2\theta + \sin 2\theta)} = -\frac{1}{2}\) for&nbsp;\(-180^\circ \le \theta \le 180^\circ\).<span class="inline-marks">[5]</span></div></li></ol>

Prove the identity \(\cot \theta - 1 = \frac{\cos 2\theta}{\sin \theta (\cos \theta + \sin \theta)}\).

Hence solve the equation \(\frac{\cos 4\theta}{\sin 2\theta (\cos 2\theta + \sin 2\theta)} = -\frac{1}{2}\) for \(-180^\circ \le \theta \le 180^\circ\).

Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations