sin30= 3sin 10? 4(sin 10)^3
It is difficult to solve cubic equation directly. You can use the step-by-step method, but I don't know if you have learned it.
Change the angle into radians first.
Sin( 10 degree) = sin (10 * 3.1416/180) = sin (0.17453).
Taylor formula (take the first three items)
=0. 17453-0. 17453^3/3! +0. 17453^5/5!
=0. 17453-0.000886+0.00000003748
Keep 4 digits
=0. 1736