\( \frac { \sin ^ { 2 } ( 180 + x ) \cdot \sqrt { \operatorname { cosec } ^ { 2 } ( 360 - x ) - 1 } } { \sqrt { 1 + \tan ^ { 2 } ( 360 - x ) } \cdot \cos ( 360 - x ) \cdot \cot ( 180 + x ) } \)

b) \( \sqrt{3} \operatorname{ctg}\left(\frac{\pi}{4}-2 x\right)>1 \) c) \( \sin x \cos \frac{\pi}{6}-\cos x \sin \frac{\pi}{6} \leq \frac{1}{2} \)

Find the exact value of \( \sin \left(-225^{\circ}\right) \) Rewrite the expression \( \sin \left(-225^{\circ}\right) \) using the sum formula. Choose the correct answer below. A. \( \sin \left(-225^{\circ}\right)=\sin \left(180^{\circ}+45^{\circ}\right)=\left[\sin 180^{\circ} \sin 45^{\circ}+\cos 180^{\circ} \cos 45^{\circ}\right] \) B. \( \sin \left(-225^{\circ}\right)=-\sin \left(180^{\circ}+45^{\circ}\right)=-\left[\sin 180^{\circ} \cos 45^{\circ}-\cos 180^{\circ} \sin 45^{\circ}\right] \) C. \( \sin \left(-225^{\circ}\right)=-\sin \left(180^{\circ}+45^{\circ}\right)=-\left[\sin 180^{\circ} \cos 45^{\circ}+\cos 180^{\circ} \sin 45^{\circ}\right] \) D. \( \sin \left(-225^{\circ}\right)=\sin \left(180^{\circ}+45^{\circ}\right)=\left[\sin 180^{\circ} \sin 45^{\circ}-\cos 180^{\circ} \cos 45^{\circ}\right] \)

Find the exact value of \( \sin \left(-225^{\circ}\right) \)

2. Определить, сколько целых решений имеет неравенство на интервале \( (0 ; 2 \pi) \). \[ 2 \cos \left(\frac{\pi}{4}-\frac{x}{2}\right) \geq \sqrt{3} \]

5. \( \frac{\sin \theta}{\cos \theta}= \) ? 5. \( \sin ^{2} \theta+\cos ^{2} \theta= \) ?