Question

Find the value of $\csc (-{1410}^{\circ })$

Answer 1

It is known that the values of $\csc x$ repeat after an interval of $2\pi$ or ${360}^{\circ }$.
$\therefore \csc (-{1410}^{\circ })=\csc (-{1410}^{\circ }+4\times {360}^{\circ })$

$=\csc (-{1410}^{\circ }+{1440}^{\circ })$

$=\csc {30}^{\circ }$

$=2$