What is the general solution of cos x + sin x = 1.

• Multiplying both sides by 1/sqrt (2)...
  We get
  Sinx. (1/sqrt (2)) + cosx. (1/sqrt (2)) = 1/sqrt (2).
  Sinx.cos (45) +Cosx.Sin(45) = Sin (45)
  》》
  Sin (X+45) =Sin (45)
  》》
  Therefore , General Solution is..
  X= n(pi) +(-1)^n (pi/4) -(pi/4).
• 9 years agoHelpfull: Yes(0) No(1)
• cosx+sinx=1
  (cosx+sinx)^2=1^2
  cos^2x+sin^2x+2sinxcosx=1
  1+2sinxcosx=1
  2sinxcosx=0
  sin2x=0
  2x=n(pi)+(-1)^n*alpha
  here alpha=0
  2x=n(pi)
  x=n(pi)/2
• 4 years agoHelpfull: Yes(0) No(0)