To cross the river in shortest distance, a swimmer should swim making angle \( \theta \) with th....

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To cross the river in shortest distance, a swimmer should swim making angle \( \theta \) with the upstream. What
\( \mathrm{P} \)
is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance. [Assume speed of swimmer in still water is greater than the speed of river flow]
(1) \( \cos \theta \)
(2) \( \sin \theta \)
(3) \( \tan \theta \)
(4) \( \cot \theta \)


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