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How do I find the value of csc 5pi / 6?

1 Answer

sankarankalyanam

Mar 17, 2018

#color(blue)(csc ((5pi)/6) = csc 150 = csc 30 = 2#

Explanation:

#csc ((5pi)/6)# falls in II Quadrant where in only #sin , csc# are positive.

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#csc ((5pi)/6) = csc (pi - ((5pi)/6) ) = csc (pi/6)#

But #color(purple)(csc (pi/6) = 1 / sin (pi/6) = 1/ sin 30 = 1 / (1/2) = 2#

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