Question

How do you solve `arctan(2x-5) = -1`?

Answer 1

`x = 1/2(5-tan(1)) ~~ 2.4912725`

Explanation:

If `arctan(2x-5) = -1`

then we must have

`2x-5 = tan(-1) = -tan(1)`

So
`x = 1/2(5-tan(1))`

Using an approximation for `tan(1) ~~ 0.017455`, we get
`x~~2.4912725`