Solve the trigonometric equation 3sin2x−1=0 and answer the questions that follow.
(i) Reduce the given equation to the form sin2x=k and write the corresponding general solution for x.
(ii) Using the result of part (i), list all distinct solutions of the equation in the interval [−π,π].
(iii) Verify each solution obtained in part (ii) by direct substitution into the original equation.