Question 596622
Why do you think your solution is wrong?<br>
The only thing missing, to me, is that you should first write the general solution:
{{{x = pi/6 + 2pi*n}}}
{{{x = 5pi/6 + 2pi*n}}}
{{{x = 3pi/2 + 2pi*n}}}<br>
From these we find the specific solutions which are in the specified interval. And you are right on the money with the specific solutions:
{{{x = pi/6}}} or {{{x = 5pi/6}}} {{{x = 3pi/2}}}