Question

How do you find the exact value without a calculator for cot (arcsin(5/6))?

Answer 1

`cot(arcsin(5/6))= +-sqrt(11)/5`

Explanation:

If `x=arcsin(5/6)`
we have one of the 2 situations pictured below:

`cot(arcsin(5/6)) = cot(x)`

`color(white)("XXXXXX")= +-sqrt(11)/5` (based on definition of `cot`)