Question

решите уравнение: sin (3п/2+x )= sin 3п/2

Answer 1

sin(3π/2+x)-sin3π/2=0
2sin(x/2)cos(3π/2+x/2)=0
2sin²(x/2)=0
1-cosx=0
cosx=1
x=2πn,n∈z