Question

sine squared(x)=1/4

Answer 1

sin(x) = 1/2
x = 30 degrees

Answer 2

\[\sin ^2 x=\frac{ 1 }{ 4 }\]
\[2 \sin ^2x=\frac{ 1 }{ 2 },\]
\[1-2 \sin ^2x=1-\frac{ 1 }{ 2 }=\frac{ 1 }{ 2 }\]
\[\cos 2 x=\frac{ 1 }{ 2 }=\cos \frac{ \pi }{ 3 } ,\cos \left( 2 \pi-\frac{ \pi }{ 3 } \right)=\cos \left( 2 k \pi +\frac{ \pi }{ 3 } \right),\cos \left( 2 k \pi+\frac{ 5 \pi }{ 3 } \right)\]
find x