GIVEN:

\[sin\text{ }2x\text{ }+\text{ }cos\text{ }x\text{ }=\text{ }0\]

OR,

\[2\text{ }sin\text{ }x\text{ }cos\text{ }x\text{ }+\text{ }cos\text{ }x\text{ }=\text{ }0\]

OR,

\[cos\text{ }x\text{ }\left( 2\text{ }sin\text{ }x\text{ }+\text{ }1 \right)\text{ }=\text{ }0\]

FURTHER ITB CAN BE WRITTEN AS,

\[cos\text{ }x\text{ }=\text{ }0\text{ }or\text{ }2\text{ }sin\text{ }x\text{ }+\text{ }1\text{ }=\text{ }0\]

\[Let\text{ }cos\text{ }x\text{ }=\text{ }0\]