trouver les mesures principales de : 127 pi/4 15pi/8 -34pi/7 5pi/12 143 pi/2 Merci d’avance

Bonjour,

127π/4 = 120π/4 + 7π/4 = 30π + 7π/4 = 7π/4 [2π]= -3π/4 + k2π

15π/8 = 16π/8 - π/8 = 2π - π/8 = -π/8 + 2kπ

-34π/7 = -35π/7 + π/7 = -5π + π/7 = -4π - π + 7π/7 = -4π -7π/7 + π/7 = -6π/7 + 2kπ

5π/12 ⇒ déjà mesure principale

143π/2 = 144π/2 - π/2 = 72π - π/2 = -π/2 + 2kπ