Question

find all solutions in the interval [0,2pi)
Cos 2x + ✔️2 sin X=1

Answer 1

\[\cos 2x=1-2\sin ^2x\]
\[1-2\sin ^2x+2\sin x=1,-2\sin x \left( \sin x-1 \right)=0\]
either sinx=0
or sin x=1
x=?