Question

2 cos в квадрате х =3 cos (x+п/2)

Answer 1

2cos^2x+3sinx=0

2-2sin^2x+3sinx=0

sinx=t

2t^2-3t-2=0

t=(3+-5)/4

t1=2

t=-1/2

sinx=-1/2

x=-П/6+2Пk

x=-5П/6+2Пk