\[\left( \mathbf{i} \right)~f\text{ }\left( x \right)\text{ }=\text{ }sin\text{ }(2x),\text{ }g\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }x\] Since, the functions \[f\left( x...

\[\left( \mathbf{i} \right)~f\text{ }\left( x \right)\text{ }=\text{ }sin\text{ }x,\text{ }g\text{ }\left( x \right)\text{ }=\text{ }sin\text{ }\left( x\text{ }+\text{ }\pi /4 \right)\]  Since, the...

\[\left( \mathbf{i} \right)~u\text{ }\left( x \right)\text{ }=\text{ }si{{n}^{2}}~x,\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\pi \text{ }\upsilon \text{ }\left( x \right)\text{ }=\text{...

\[\left( \mathbf{i} \right)~\Psi \text{ }\left( x \right)\text{ }=\text{ }4\text{ }sin\text{ }3\text{ }\left( x\text{ }-\text{ }\pi /4 \right),\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\pi...

\[\left( \mathbf{i} \right)~h\text{ }\left( x \right)\text{ }=\text{ }2\text{ }sin\text{ }3x,\text{ }0\text{ }\le \text{ }x\text{ }\le \text{ }2\pi /3\] Since, \[g\text{ }\left( x \right)\text{...