If $\left(a{\cos \theta }_1,a{\sin \theta }_1\right),\left(a{\cos \theta }_2,a{\sin \theta }_2\right)$ and $\left(a{\cos \theta }_3,a{\sin \theta }_3\right)$ represent the vertices of an equilateral triangle inscribed in a circle, then (a) ${\cos \theta }_1+{\cos \theta }_2+{\cos \theta }_3=0$ (b) ${\sin \theta }_1+{\sin \theta }_2+{\sin \theta }_3=0$ (c) ${\tan \theta }_1+{\tan \theta }_2+{\tan \theta }_3=0$ (d) ${\cot \theta }_1+{\cot \theta }_2+{\cot \theta }_3=0$

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