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Question

Mathematics Question on Trigonometric Functions

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°)=cosec(1410°+4×360°)cosec(-1410°)=cosec(-1410°+4×360°)

=cosec(1410°+4×1440°)=cosec(-1410°+4×1440°)

cosec30°=2cosec\,30°=2