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The total number of solution of |cotx|=c...

The total number of solution of `|cotx|=cotx+1/(sinx),x in [0,3pi]` , is equal to 1 (b) 2 (c) 3 (d) 0

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|cotx|=cotx+`1/sinx`
first case
cotx=cotx+`1/sinx`
`1/sinx`=0
sinx=`oo`
which is not possible
case second
-cotx=cotx+`1/sinx`
...
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