A particle moves in x-y plane under the influence of a force F such that its linear momentum is p ( t )= i cos ( kt )- j sin ( kt ). If k is…

A particle moves in $\displaystyle x-y$ plane under the influence of a force $\displaystyle \vec{F}$ such that its linear momentum is $\displaystyle \overrightarrow{\mathrm{p}}(\mathrm{t})=\hat{\mathrm{i}} \cos (\mathrm{kt})-\hat{\mathrm{j}} \sin (\mathrm{kt})$. If k is constant, the angle between $\displaystyle \overrightarrow{\mathrm{F}}$ and $\displaystyle \overrightarrow{\mathrm{P}}$ will be :