Question

tan(3x)=sqrt3

Answer 1

tan(3x) = sqrt(3)
tan(3x) = tan(2pi/3) , tan(5pi/3)
3x = 2 pi/3 + pi * k
x = pi * (2/9 + k/3)
x = 9 * pi * (2 + 3k)

this is what i concluded you should confirm it with mertsj or someone else

Answer 2

@LilySwan you mean
\[\Large x=(2+3k){\pi\over9}\]

Answer 3

@mattlai7 here, \(k=0,\pm1,\pm2,\ldots\)
substitute different values for "k" to get solutions in the given domain

Answer 4

yep i solved it the way i found it easier @electrokid

Answer 5

meh confused

Answer 6

ask hartnn

Answer 7

@hartnn

Answer 8

yeah thats correct, which step are you confused on ?

Answer 9

finding the answer for when x is between 0 and 2pi