Solve the following equations for real values of .

MATHEMATICS · Multi-part · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Solve the following equations for real values of

x

. (i)

\arcsin(2x)=\dfrac{\pi}{6}

. (ii)

\arcsin(2x)=\dfrac{\pi}{3}

. In each case, state clearly any domain restrictions used in obtaining the solution.