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Find the value of the trigonometric function cosec (–1410°)

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It is known that the values of cosec x repeat after an interval of 2π or 360°.

cosec(−1410)=−cosec1410

⇒−cosec(4×360−30)

⇒ - cosec30

Since cosec(2nπ−θ)=−cosecθ

cosec30⇒2

Hence cosec(−1410)=2

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