sin^8x+cos^4x=sin^4x+cos^8x

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Solution for sin^8x+cos^4x=sin^4x+cos^8x equation: 


Simplifying
sin8x + cos4x = sin4x + cos8x

Reorder the terms:
cos4x + in8sx = sin4x + cos8x

Reorder the terms:
cos4x + in8sx = cos8x + in4sx

Solving
cos4x + in8sx = cos8x + in4sx

Solving for variable 'c'.

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

Add '-1cos8x' to each side of the equation.
cos4x + -1cos8x + in8sx = cos8x + -1cos8x + in4sx

Combine like terms: cos8x + -1cos8x = 0
cos4x + -1cos8x + in8sx = 0 + in4sx
cos4x + -1cos8x + in8sx = in4sx

Add '-1in8sx' to each side of the equation.
cos4x + -1cos8x + in8sx + -1in8sx = in4sx + -1in8sx

Combine like terms: in8sx + -1in8sx = 0
cos4x + -1cos8x + 0 = in4sx + -1in8sx
cos4x + -1cos8x = in4sx + -1in8sx

Reorder the terms:
cos4x + -1cos8x + -1in4sx + in8sx = in4sx + -1in4sx + -1in8sx + in8sx

Combine like terms: in4sx + -1in4sx = 0
cos4x + -1cos8x + -1in4sx + in8sx = 0 + -1in8sx + in8sx
cos4x + -1cos8x + -1in4sx + in8sx = -1in8sx + in8sx

Combine like terms: -1in8sx + in8sx = 0
cos4x + -1cos8x + -1in4sx + in8sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(cos3 + -1cos7 + -1in4 + in8) = 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 '(cos3 + -1cos7 + -1in4 + in8)' equal to zero and attempt to solve:

Simplifying
cos3 + -1cos7 + -1in4 + in8 = 0

Solving
cos3 + -1cos7 + -1in4 + in8 = 0

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

Add 'in4' to each side of the equation.
cos3 + -1cos7 + -1in4 + in4 + in8 = 0 + in4

Combine like terms: -1in4 + in4 = 0
cos3 + -1cos7 + 0 + in8 = 0 + in4
cos3 + -1cos7 + in8 = 0 + in4
Remove the zero:
cos3 + -1cos7 + in8 = in4

Add '-1in8' to each side of the equation.
cos3 + -1cos7 + in8 + -1in8 = in4 + -1in8

Combine like terms: in8 + -1in8 = 0
cos3 + -1cos7 + 0 = in4 + -1in8
cos3 + -1cos7 = in4 + -1in8

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.

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