how to get simplified result of solving equation
In a linear algebra assignment I have the following equation I need to find a solution for:
-2*sqrt(3)*sin(t)^2+2*cos(t)*sin(t)+sqrt(3)==0. I know the result is pi/3.
Now, when I use solve,
solve(-2*sqrt(3)*sin(t)^2+2*cos(t)*sin(t)+sqrt(3)==0, t). I get:
[sin(t) == -1/6*sqrt(3)*(sqrt(cos(t)^2+6)-cos(t), sin(t) == 1/6*sqrt(3)*sqrt(cos(t)^2+6)+cos(t))].
How do I use the solve function to get the more simplified result?
NB: I have also tried to use
find_root and different simplify functions, but also without any luck. I am new to sage, so it is quite possible that I don't know a specification to the solve function which I should use.
Thank you in advance!