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cos2x = 2cos²x-1 (2)
cos2x = 1-2sen²x (3)
utilizamos (3) en la ecuación dada:
1 - 2sen²x = 3 - 5senx
2sen²x-5senx+2= 0
factorizando (senx -2)(2senx-1)=0
senx = 2 senx = 1/2
no es posible x = 30°, 150° 0°<x<360°