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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