cos^2x-cosx-sin^2x=0

Simple and best practice solution for cos^2x-cosx-sin^2x=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for cos^2x-cosx-sin^2x=0 equation: 


Simplifying
cos2x + -1cosx + -1sin2x = 0

Reorder the terms:
-1cosx + cos2x + -1in2sx = 0

Solving
-1cosx + cos2x + -1in2sx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'in2sx' to each side of the equation.
-1cosx + cos2x + -1in2sx + in2sx = 0 + in2sx

Combine like terms: -1in2sx + in2sx = 0
-1cosx + cos2x + 0 = 0 + in2sx
-1cosx + cos2x = 0 + in2sx
Remove the zero:
-1cosx + cos2x = in2sx

Combine like terms: in2sx + -1in2sx = 0
-1cosx + cos2x + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1co + cos + -1in2) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1co + cos + -1in2)' equal to zero and attempt to solve:

Simplifying
-1co + cos + -1in2 = 0

Solving
-1co + cos + -1in2 = 0

Move all terms containing c to the left, all other terms to the right.

Add 'in2' to each side of the equation.
-1co + cos + -1in2 + in2 = 0 + in2

Combine like terms: -1in2 + in2 = 0
-1co + cos + 0 = 0 + in2
-1co + cos = 0 + in2
Remove the zero:
-1co + cos = in2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| -5x-15y=-10 | | y=0.25x^2-2 | | -6+16v=18v+20 | | lnx=-14 | | 10-4t+8=-12 | | 2x+16=82 | | 9p-10=4p | | 4(8-5)+6=-1 | | 6g-2g+5=4(g+3) | | 2*-7+y=.1(y+3) | | 123456789(9x+2k-3z)=98765321(3y-7v) | | 4x+17=(9-6)x | | 4x+17=9-6x | | 4(x-1)-3(x-3)=12 | | 10m-13=77 | | 6m+7=55 | | 12x-10y=5 | | -16=7m^2+22m | | .27x=3869 | | x=2.5+.5y | | .45x=3869 | | 2x+1+x=7x-8 | | .3x=3869 | | 3.2(x)-7.6=14.8 | | 2x+1=7x-8 | | 3(y+2)=5y+10 | | 8+3n*12=10 | | x^3-15=x^2 | | 5x-10=-x+8 | | 5x-10=-1x+18 | | x^3-4=x^2+11 | | 5x-10=-x+18 |

Equations solver categories