Question #9cf1c

1 Answer
Nghi N
Jul 4, 2017

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

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