Sin(п/2+x)-cos(п+x)+1=0

Question

Sin(п/2+x)-cos(п+x)+1=0

Answer 1

Sin(π/2 + x) - cos(π + x) + 1 = 0
cosx + cosx = -1
2cosx = - 1
cosx = -1/2
x= +-arccos(-1/2) + 2πn,n ∈ Z
x = +-2π/3 + 2πn, n ∈ Z