Question

resolva a equação ( cos x + sen )2=1/2

Answer 1

( cosx + senx )²=1/2
cos²x+2cosx.senx+sen²x = 1/2
1+2cosx.senx=1/2
1+sen2x = 1/2
sen2x=1/2 - 1
sen2x = -1/2
sen2x=sen210
2x=210+360k
x=105+180k

sen2x=330
2x=330+360k
x=165+180k

se quiser que eu ponha em radiano me avise.
tchau