dude you could have shot the bobcat, you have a huntin license to hunt deer so it also alows you to kill bobcats and coyotes and stuff 
not true, Bobbies require small game licsence!

2013 Washington State Big Game Hunting Pamphlet
A small game license is required for hunting all small game, except forest grouse and coyotes,
which can be hunted with a big game or small game license.
Small Game and Other Wildlife Seasons
Night Hunting and Hound Hunting
During Deer and Elk Hunting Seasons
Small Game and Other Wildlife Seasons
Small Game Species Daily
Bag Limit Season Dates Notes and Exceptions
Bobcat None Statewide: Sept. 1, 2013 - Mar. 15, 2014 Sealing of pelt required. Bobcat may not be hunted with dogs.
Pelt Sealing Requirements:
Successful hunters/trappers must contact a WDFW office within 20 days of the
close of the hunting or trapping season to schedule a hide sealing appointment.
The bobcat hide must not be frozen so a seal may be attached. No one may possess
an open WDFW bobcat seal unless it has been cut by a licensed taxidermist or fur
dealer who has received and invoiced the pelt for processing.
Fox None Statewide: Sept. 1, 2013 - Mar. 15, 2014 CLOSED within the exterior boundaries of the Mt. Baker-Snoqualmie, Okanogan,
Wenatchee, and Gifford Pinchot National Forests and GMUs 407 and 410.
Raccoon None Statewide: Sept. 1, 2013 - Mar. 15, 2014 CLOSED on Long Island within Willapa National Wildlife Refuge.
Cottontail Rabbit and Snowshoe Hare 5/day, see
notes
Statewide: Sept. 1, 2013 - Mar. 15, 2014 Possession limit: 15 straight or mixed bag
Forest Grouse 4/day, see
notes
Statewide: Sept. 1 - Dec. 31 Possession limit: 12 straight or mixed bag
Crow None Statewide: Sept. 1-Dec. 31 Crows in the act of depredation may be taken at any time.
Coyote None Year round. Coyote may not be hunted with dogs. A small game or big game hunting license
is required.
Lynx, Pygmy Rabbit, Jackrabbit,
Ptarmigan, Sage Grouse, and Sharp-tailed
Grouse
Closed statewide, year-round
Beaver, Badger, Weasels, Marten, Mink,
Muskrat, and River Otter
Cannot be hunted; see trapping regulations
Hunting at night:
Bobcat and raccoon may be hunted
at night during established bobcat
and raccoon seasons, EXCEPT it is
unlawful to hunt bobcat and raccoon
at night during the months of
September, October, or November
in any area open to a modern
firearm deer or elk season.
Coyote may be hunted at night
year round, EXCEPT it is unlawful
to hunt coyote at night during the
months of September, October,
or November in any area open to a
modern firearm deer or elk season.
Hound hunting:
The use of dogs to hunt black bear,
bobcat, coyote, and cougar (except
as noted below) is prohibited year
round.
Dogs may be used to hunt raccoon
EXCEPT it is unlawful to hunt
with dogs during the months of
September, October, or November
in any area open to a modern
firearm deer or elk season.
Be sure of identification
if you are hunting coyotes.
Wolves are back in Washington.
They are protected under both federal and state law
and may not be shot or killed