Question

How do you solve `tan x=2.5`?

Answer 1

`x~~1.19029` radians

`x~~68.2^@`

Explanation:

You would have to solve this with a calculator.

`tan x = 2.5`

`tan^-1(2.5) = x`

`x~~1.19029` radians

`x~~68.2^@`

Answer 2

`x = 68^@2 + k180^@`

Explanation:

tan x = 2.5
Calculator and unit circle give as general answer -->
`x = 68^@ 2 + k180^@`
For interval `(0, 360^@)`, there are 2 answers:
`x = 68^@2`, and
`x = 180 + 68.2 = 248^@2`