You can put this solution on YOUR website! Find the value of cosec (-1410)degree:
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-1410˚ is like rotating clockwise around a unit circle 1080˚ plus an aditional 330˚ which places the reference angle of 30˚ in quadrant I where csc and cos<0
csc(-1410˚)=csc(30˚)=1/cos(30˚)=-2/√3=-2√3/3