If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx a...

If `xsin((y)/(x))dy=[ysin((y)/(x))-x]dx ad y(1)=(pi)/(2)`, then the value of `cos((y)/(x))` is equal to

A

x

B

`1/x`

C

`logx`

D

`e^x`

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The correct Answer is:

C

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