Synonyms for Cool include:
a la mode, acold, air-conditioned, air-cooled, algid, arctic, beetle-browed, bleak, caller, calm, categoric, categorical, chill, chilly, clean, clear, cold, collected, composed, cool, coolheaded, crisp, cutting, cutting-edge, dapper, dashing, dignified, dry, emotionless, equanimous, faddish, faddy, fashionable, flat, frigid, frigorific, frore, frosty, frozen, gelid, glacial, groovy, heatless, hostile, ice-cold, icy, impassive, imperturbable, in, in style, in vogue, incompatible, inhospitable, jaunty, latest, mod, modern, modernistic, modish, natty, nerveless, nipping, nippy, old-time, olde worlde, outright, parky, passionless, philosophic, philosophical, phlegmatic, phlegmatical, poised, polar, precooled, quaint, quiet, raffish, rakish, raw, refrigerant, refrigerated, refrigerating, relaxed, rimed, rimy, scowling, self-collected, self-contained, self-possessed, serene, shivery, snappy, spiffy, spruce, steady, stoic, stoical, stolid, stone-cold, straight-out, stylish, swagger, swank, swanky, tranquil, trend-setting, trendsetting, trendy, unaffected, unagitated, unblinking, unconditional, uncongenial, uncordial, unemotional, unexcited, unflappable, unflurried, unflustered, unfriendly, unheated, unlimited, unmodified, unmoved, unmoving, unneighborly, unneighbourly, unperturbed, unqualified, unresponsive, unruffled, unsociable, untouched, unwarmed, up-to-date, voguish, water-cooled, wintry, with-it
cool is a ADJ.
aplomb, assuredness, cool, poise, sang-froid
cool is a NOUN.
chill, cool, cool down, cool off
cool is a VERB.