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Question: Find the value of cosec 405°.


A ) - 2
B ) 2
C ) - 12
D ) 12

Steps to derive

1 405° - 360° = 45°, so a 405° angle is co-terminal with a 45° angle and its terminal side is in quadrant I.


2 The cosecant function is positive in quadrant I.

3 cosec 405° = cosec 45° = 2



Hence the right answer is Option B

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