The word trigonometric is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters trigonometric
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Seven Letter Word Alert: (50 words)
citrine, cittern, contort, coreign, cornett, cornier, coroner, coronet, cringer, critter, crooner, emoting, emotion, genomic, grimier, gritter, groomer, igniter, ignitor, inciter, incomer, interim, ionomer, meiotic, mintier, mitogen, mitotic, monitor, mooring, mooting, moronic, nitrite, nittier, omicron, omitter, regroom, reicing, rioting, roomier, rooming, rooting, rotting, termini, tiering, tintier, titmice, tooting, torment, tornote, torrent