Find the values of : cot (-1110°) - Vidyadip

Question

Find the values of : cot (-1110°)

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Answer

\begin{aligned}
& \cot \left(-1110^{\circ}\right)=-\cot \left(1110^{\circ}\right) \\
& =-\cot \left(1080^{\circ}+30^{\circ}\right) \\
& =-\cot \left(3 \times 360^{\circ}+30^{\circ}\right) \\
& =-\cot 30^{\circ} \\
& =-\sqrt{3} \\
& =-1,
\end{aligned}

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