Question
Find the values of the trigonometric function: $\cot \left( {\frac{{ - 15\pi }}{4}} \right)$

Answer

$\cot \left( {\frac{{ - 15\pi }}{4}} \right) = \cot \left( {\frac{{ - 15 \times 180^\circ }}{4}} \right) = \cot ( - 675^\circ )$
$\cot ( - 675^\circ ) = \cot ( - 2 \times 360^\circ + 45^\circ )$ = cot 45° = 1

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