How do you evaluate the expression csc(-60)?

1 Answer
Mar 17, 2018

color(brown)(csc (-60) = - 1/ sin 60 = - 2/ sqrt3

Explanation:

csc (-60) = csc (-(pi/3)) = csc (2pi - (pi/3)

It falls in IV quadrant where in cos , sec alone are positive.

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:. color(indigo)(csc (-60) = - csc (60) = - 1 / sin 60 = -1 / (sqrt3/2) = - 2 / sqrt3