Question

sin^2 x = 1/2

Answer 1

\(\Large\rm sin^2x=\dfrac{1}{2} \)

\(\Large\rm sinx= \sqrt {\dfrac{1}{2} } \)

\(\Large\rm sinx=\pm \dfrac{1}{\sqrt2} \)

\(\Large\rm sinx=\pm sin 45 \)


\(\Large\rm hence~~x=\pm 45 \)

Answer 2

\(\Large\rm the ~~first ~~and~~ second ~~step~~ should~~ be~~ like ~~this\)
\(\Large\rm sin^2x=\dfrac{1}{2}\)

\(\Large\rm sinx=\pm\sqrt{\dfrac{1}{2}}\)