Question 1204389


{{{3cot(3x +pi/4) = sqrt(3)}}}


 {{{cot (3x +pi/4) = sqrt(3)/3}}}


since {{{cot(x)= sqrt(3)/3 }}}=> {{{x =pi* n +pi/3}}},{{{ n }}}element {{{Z}}}


then 

{{{3x +pi/4 =pi* n +pi/3}}}.....solve for {{{x}}}

{{{3x =pi* n +pi/3-pi/4 }}}

{{{3x =pi*n + pi/12}}}

{{{x =pi*n /3+ (pi/12)/3}}}

{{{x =pi*n /3+ pi/36}}}