A particle moves in the \( X-Y \) plane under the influence of a force such that its linear mome...

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A particle moves in the \( X-Y \) plane under the influence of a force such that its linear momentum is \( \vec{P}(t)=A[\hat{i} \cos (k t)-\hat{j} \sin (k t)] \), where \( A \) and \( k \) are constants. The angle between the force and the momentum is
[IIT-JEE 2007]
(a) \( 0^{\circ} \)
(b) \( 30^{\circ} \)
(c) \( 45^{\circ} \)
(d) \( 90^{\circ} \)
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