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Value of cosec(-1410°) is 
1. -1
2. -2/√3
3. 2
4. 2/√3

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Correct Answer - Option 3 : 2

Concept:

cosec (2nπ - θ) = - cosec θ 

 

Calculation:

cosec (-1410°) = -cosec (1410°)

= -cosec (4× 360° - 30°)

= -cosec (-30°)                          (∵ cosec(2nπ - θ) = - cosecθ)

= cosec 30° 

= 2

Hence, option (3) is correct.

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