Evaluate: tan A + cot (180^circ + A) + cot (9 | vedclass

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(A) We use the trigonometric reduction formulas:$1$. $\cot (180^\circ + A) = \cot A$ (Since it is in the third quadrant where $\cot$ is positive).$2$.

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$0$

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(A) We use the trigonometric reduction formulas:$1$. $\cot (180^\circ + A) = \cot A$ (Since it is in the third quadrant where $\cot$ is positive).$2$. $\cot (90^\circ + A) = -	an A$ (Since it is in the second quadrant where $\cot$ is negative).$3$. $\cot (360^\circ - A) = -\cot A$ (Since it is in the fourth quadrant where $\cot$ is negative).Substituting these values into the expression:$	an A + \cot A - 	an A - \cot A$$= (	an A - 	an A) + (\cot A - \cot A)$$= 0 + 0 = 0$.

Evaluate: $\tan A + \cot (180^\circ + A) + \cot (90^\circ + A) + \cot (360^\circ - A)$

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