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

+1 vote
27.4k views

edited

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

+1 vote
by (65.0k points)
selected

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