Question

$${ \left( \sin x+ \cos x \right) }^{ 2 } =2 \sin x \times \cos x$$

Answer

[No Solution]

Solution


Expand.
\[2\sin{x}\cos{x}+1=2\sin{x}\cos{x}\]
Cancel \(2\sin{x}\cos{x}\) on both sides.
\[1=0\]
Since \(1=0\) is false, there is no solution.
No Solution