SOLUTION: solve for x: cos x - cos ² x = 0

Algebra.Com
Question 306032: solve for x: cos x - cos ² x = 0
Found 2 solutions by themathtutor2009, Alan3354:
Answer by themathtutor2009(81)   (Show Source): You can put this solution on YOUR website!
cos x - cos ² x = 0

cos x(1-cos x) = 0

cos x = 0 or 1-cos x = 0

cos x = 0 or cos x = 1

x = pi/2+pi*n or x = 2pi*n

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
solve for x: cos x - cos ² x = 0
--------------------
cos(x)*(1-cos(x)) = 0
cos(x) = 0
x = pi/2 + n*pi, n = 0,1,2,3.....
---------------------------
cos(x) = 1
x = 0 + 2n*pi, n = 0,1,2,3...

RELATED QUESTIONS

Cos 2x + cos x + 1= 0.... (answered by Alan3354,richard1234)
Solve the following equations for 0deg <= x <= 360deg: (i) cos 2x cos x = sin 4x sin x... (answered by ikleyn)
sin(X) + cos(x) -6(x) = 0 Solve for... (answered by Fombitz)
Solve for x. 5sec x + [tan x/cos x] =... (answered by ikleyn)
Solve : cos(sin(x)) <... (answered by Fombitz)
cos 2x + cos x =... (answered by Cromlix)
Solve for x. 3csc x - [1/cos x] =... (answered by ikleyn)
2x-cos(x)+1=0 2x-cos(x)+1+1 Solve for x in... (answered by Fombitz)
2x-cos(x)+1=0 2x-cos(x)+1=1 Solve for... (answered by Fombitz)