The paper considers two independent methods of primary particles determination of cosmic origin. The particles give a rise to nuclear processes that generate cascade multiplication of various types of elementary particles. Methods are based on Cherenkov light registration at optical range of wavelength, formed by the interaction of secondary particles with the atmosphere and transition of charged particles through the Earth’s magnetic field with the generation of radio emission. The paper presents empirical formulas based on measurements of air shower characteristics at the sea level. Cross-correlation of air shower energy estimation obtained independently are considered.