Question

Question #9cf1c

Answer 1

x = (2pi)/3,
x = (5pi)/3

Explanation:

Suggested solution --> possible error in question

`tan x + 1 = - sqrt3(1 + cot x)`
`(tan x + 1)/(1/tan x + 1) = - sqrt3`
Develop the left side
`((tan x + 1)(tan x))/(1 + tan x) = tan x`
`tan x = - sqrt3`
Trig table and unit circle give:
`x = (2pi)/3` and `x = (2pi)/3 + pi = (5pi)/3`