Potassium phenyltrifluoroborate (500 mg, 2.72 mmol), potassium carbonate (1.13 g, 8.15 mmol), and palladium(II) acetate (3 mg, 0.014 mmol) were added to solution of 4-bromoanisole (509 mg，2.72 mmol) in methanol (10 mL) at rt under N₂ atmosphere. After reflux for 2 h, the reaction mixture was cooled to rt, quenched by addition of water (20 mL), and extracted with dichloromethane (30 mL×2). Obtained organic phase was washed with 2N HCl aq. (30 mL) and brine (30 mL), dried over anhydrous sodium sulfate and filtered. After solvent was removed under reduced pressure, crude was purified by column chromatography (silica-gel, n-hexane:EtOAc = 20:1) to give 4-methoxybiphenyl (380 mg，76%) as a white solid.

All chemical manipulations were performed in a fume hood. 
Methanol was used as reaction solvent without degassing operation.
Consumption of stating material and formation of product were monitored by TLC(n-hexane:AcOEt = 20:1). Rf: 0.625(4-bromoanisole), 0.50(4-methoxybiphenyl).
This procedure is typical for Suzuki-Miyaura coupling using organotrifluoroboates.

¹H NMR (400 MHz, CDCl₃); δ 7.51–7.56 (m, 4H), 7.39–7.44 (m, 2H), 7.28–7.32 (m, 1H), 6.96–6.99 (m, 2H), 3.85 (s, 3H).

G. A. Molander and B. Biolatto, J. Org. Chem. 2003, 68, 4302. (DOI: https://doi.org/10.1021/jo0608366)