Sin(x-1)=cos(x+2)

Question

Sin(x-1)=cos(x+2)

Answer 1

 

sin(x-1)=cos(x+2)

cos(π/2-x+1)=cos(x+2) 
π/2-x+1=x+2+2πk 
-2x=1-π/2+2πk 
x=1/2 (π/2-1+2πk)