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$\sin 120^{\circ} \cos 150^{\circ} - \cos 240^{\circ} \sin 330^{\circ}$ is equal to :

The value of $\cos (270^\circ + \theta )\cos (90^\circ - \theta ) - \sin (270^\circ - \theta )\cos \theta $ is

$\frac{\sin 81^o + \cos 81^o}{\sin 81^o - \cos 81^o}$ is equal to

Which of the following have the same value?
$(a)$ $\sin 120^{\circ}$
$(b)$ $\cos 930^{\circ}$
$(c)$ $\tan 840^{\circ}$
$(d)$ $\cot (-1110^{\circ})$

$\left(\frac{\sin 35^{\circ}}{\cos 55^{\circ}}\right)^2+\left(\frac{\cos 55^{\circ}}{\sin 35^{\circ}}\right)^2-2 \cos 30^{\circ}=$

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