1.

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

Answer»

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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