Cos(8x)=cos^2(4x)-sin^2(4x)

Simple and best practice solution for Cos(8x)=cos^2(4x)-sin^2(4x) 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(8x)=cos^2(4x)-sin^2(4x) equation: 


Simplifying
Cos(8x) = cos2(4x) + -1sin2(4x)

Remove parenthesis around (8x)
osC * 8x = cos2(4x) + -1sin2(4x)

Reorder the terms for easier multiplication:
8osC * x = cos2(4x) + -1sin2(4x)

Multiply osC * x
8osxC = cos2(4x) + -1sin2(4x)

Remove parenthesis around (4x)
8osxC = cos2 * 4x + -1sin2(4x)

Reorder the terms for easier multiplication:
8osxC = 4cos2 * x + -1sin2(4x)

Multiply cos2 * x
8osxC = 4cos2x + -1sin2(4x)

Remove parenthesis around (4x)
8osxC = 4cos2x + -1in2s * 4x

Reorder the terms for easier multiplication:
8osxC = 4cos2x + -1 * 4in2s * x

Multiply -1 * 4
8osxC = 4cos2x + -4in2s * x

Multiply in2s * x
8osxC = 4cos2x + -4in2sx

Solving
8osxC = 4cos2x + -4in2sx

Solving for variable 'o'.

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

Add '-4cos2x' to each side of the equation.
-4cos2x + 8osxC = 4cos2x + -4cos2x + -4in2sx

Combine like terms: 4cos2x + -4cos2x = 0
-4cos2x + 8osxC = 0 + -4in2sx
-4cos2x + 8osxC = -4in2sx

Reorder the terms:
-4cos2x + 4in2sx + 8osxC = -4in2sx + 4in2sx

Combine like terms: -4in2sx + 4in2sx = 0
-4cos2x + 4in2sx + 8osxC = 0

Factor out the Greatest Common Factor (GCF), '4sx'.
4sx(-1cos + in2 + 2oC) = 0

Ignore the factor 4.

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

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing o 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 '(-1cos + in2 + 2oC)' equal to zero and attempt to solve:

Simplifying
-1cos + in2 + 2oC = 0

Solving
-1cos + in2 + 2oC = 0

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

Add '-1in2' to each side of the equation.
-1cos + in2 + -1in2 + 2oC = 0 + -1in2

Combine like terms: in2 + -1in2 = 0
-1cos + 0 + 2oC = 0 + -1in2
-1cos + 2oC = 0 + -1in2
Remove the zero:
-1cos + 2oC = -1in2

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:

| (4x+7)(5x-4)=209 | | 5f=2-9 | | 2-i=i-1 | | ydx+2xdy=(x^3)ydx | | Y=4.5-5X | | 5p-2=20 | | x^2+20x-7=0 | | 4x-2x=-9-1 | | 5=e+8 | | 0.00000128= | | 6e=3e+1.2 | | 7(4x-6)=29 | | 5v^2+30v=0 | | 3s+13=45+1s | | logx(3x)=2 | | 14p-11=32 | | -17=2w-3 | | 14ab-12ab+6ab= | | 333x=666 | | 5x-34=35 | | (2+i)(7-3i)= | | cos(pi)x=0 | | x^2-35x-555=0 | | 0=2x^2+11x-24 | | x^2-60+900=0 | | 50w+3=153 | | 12(3a-2b)+4(3a+3b)= | | 2x^2-178x=4x-x^2 | | 4a-8b= | | A-24=-9 | | x^2-10x+60=7260 | | y=-0.01x^2+0.7x+6.2 |

Equations solver categories