A similarity between the photon annihilation and creation operators and the Susskind-Glogower exponential phase operators motivates the introduction and study of quasidistributions of the cosine and sine of phase. These quasidistributions are related to the standard and antistandard orderings of trigonometric phase operators and to the normal: antinormal, and symmetrical orderings of the exponential phase operators. The symmetrical ordering is connected to an optical ideal tomography of the appropriate quasidistribution from the rotated Susskind-Glogower cosine operator.