Find the value of the trigonometric function $\cos ec \left(-1410^{\circ}\right)$

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It is known that the values of $cos ec$ $x$ repeat after an interval of $2 n$ or $360^{\circ} .$ 

$\therefore \cos ec \left(-1410^{\circ}\right)=\cos ec \left(-1410^{\circ}+4 \times 360^{\circ}\right)$

$=\cos ec \left(-1410^{\circ}+1440^{\circ}\right)$

$=\cos ec \,30^{\circ}=2$

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