The solution set of equations cos5x=1+sin4xis

cos5x=1+sin4xMinimum value of R.H.S is 1and maximum value of  L.H.S is 1. so equality holds only when both sides are simultaneously equal and equal to 1.⇒  cosx=1 and sinx=0⇒                  cosx=1⇒x=2nπ       and sinx=0⇒x=nπ                  So, solution set  is  x=2nπ, n∈I