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Q. The value of, $\cot A \cdot \cot \left(60^{\circ}+ A \right)+\cot \left(60^{\circ}+ A \right)$ $\cdot \cot \left(120^{\circ}+ A \right)+\cot \left(120^{\circ}+ A \right) \cot A -$

Trigonometric Functions

Solution:

Put $A =30^{\circ}$ then $0+0+-\sqrt{3} \cdot \sqrt{3}=-3$