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  4. The value of cosec (-1410)° is equal to

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Q. The value of $cosec\,(-1410)^{\circ}$ is equal to

Trigonometric Functions

Solution:

As, we know that; $cosec \,(-\theta)=-cosec\, \theta$
$\therefore \,cosec\left(-1410^{\circ}\right)=-cosec\,(360 \times 4-30)^{\circ}=-\left(-cosec\, 30^{\circ}\right)$
$=cosec \,30^{\circ}=2 \cdot[\because \,cosec(2 n \pi-\theta)=-cosec \,\theta]$