Question

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

Answer 1

`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).