Find the value of


Find the value of

$\cot \left(585^{\circ}\right)$



To find: Value of $\cot \frac{13 \pi}{4}$

We have

$\cot \left(585^{\circ}\right)=\cot \left[90^{\circ} \times 6+45^{\circ}\right]$

$=\cot 45^{\circ}$

[Clearly, $585^{\circ}$ is in III $^{\text {rd }}$ Quadrant and the multiple of $90^{\circ}$ is even]

$=1\left[\because \cot 45^{\circ}=1\right]$


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