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Solutions of the differential equations `(dy)/(dx) tan y= sin (x+y) +sin (x-y)` is

A

` sec y + 2 cos x =c`

B

` sec y -2 cos x =c`

C

` cos y - 2 sin x =c`

D

` tan y - 2 sec y=c`

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The correct Answer is:
A
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