Search 72,371 tutors
FIND TUTORS
Search for tutors
Ask a question
0 0

Find all solutions in the interval [0,2pi): tan^2x + (sqrt3-1)tanx-sqrt3 = 0

Tutors, please sign in to answer this question.

1 Answer

Factor,
(tan x + sqrt3)(tan x - 1) = 0
tan x = -sqrt3, => x = 2pi/3, 5pi/3
or
tan x = 1, => x = pi/4, 5pi/4
Answer: x = pi/4, 2pi/3, 5pi/4, 5pi/3