Question

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

Answer 1

`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.

`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`