How do you find cot(x) = -2 in radians?

1 Answer
Alan P.
Aug 18, 2015

#cot(x)= -2#
#rArr##color(white)("XXXX")##x = 0.457658 radians#

Explanation:

If #cot(x) = -2#
then
#color(white)("XXXX")#in standard position we are looking at a
#color(white)("XXXX")#triangle whose adjacent to opposite side ratio is (#-2:1#)

Unfortunately, this is not one of the standard angle ratios.

The only way to solve this is to use a calculator (or similar technology), or look it up in a table of trig values, or use something like the Taylor expansion (if you have nothing better to do with your evenings).

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