Cos(2П-х)-sin(3П/2+х)=1

Question

Cos(2П-х)-sin(3П/2+х)=1

Answer 1

cos(2π-x)-sin(3π/2+x)=1
cos(x)+cos(x)=1
2cos(x)=1
cos(x)=½
x=±π/3+2πn,  n∊Z