$\cos(-1230^\circ)$

$\tan(-1035^\circ)$

$\sec(1140^\circ)$

$\operatorname{cosec}(-690^\circ)$

$\cot(1320^\circ)$

$\cos(-240^\circ)$

$\cos 168^\circ$

$\sin 192^\circ$

$\cos 333^\circ$

$\tan 213^\circ$

$\cos(-435^\circ)$

$\sin 219^\circ$

$\tan(-597^\circ)$

$\cos(-111^\circ)$

$\sin(-390^\circ)$

$\sin(180^\circ + \alpha)\sin(90^\circ - \alpha) = -\sin\alpha\cos\alpha$

$\sin 810^\circ \sin 630^\circ + \cos 135^\circ \sin 225^\circ = -\dfrac{1}{2}$

$\tan 150^\circ \cot 330^\circ - 2\sec 135^\circ \operatorname{cosec} 225^\circ = -3$

$\sin 210^\circ + \cos 240^\circ + \tan 225^\circ + \cot 225^\circ = 1$

$\dfrac{\tan(180^\circ + \alpha)\cot(90^\circ - \alpha)}{\sin(360^\circ - \alpha)\cos(270^\circ + \alpha)} = -\sec^2\alpha$

$\dfrac{\sin^2(\pi + \theta)\tan\left(\dfrac{3\pi}{2} + \theta\right)}{\cot^2\left(\dfrac{3\pi}{2} - \theta\right)\cos^2(\pi - \theta)\operatorname{cosec}(2\pi - \theta)} = \cos\theta$

$\dfrac{\cos(90^\circ + \theta)\sec(-\theta)\tan(180^\circ - \theta)}{\sec(360^\circ - \theta)\sin(180^\circ + \theta)\cot(90^\circ - \theta)} = -1$

$\sin(\alpha + \beta) = \sin\gamma$

$\sec\left(\dfrac{\alpha + \beta}{2}\right) = \operatorname{csc}\dfrac{\gamma}{2}$

$\operatorname{cosec}\alpha = \dfrac{1}{\sin(\beta + \gamma)}$

$\tan(\alpha + \beta) + \tan\gamma = 0$