sin^6x-sin^8x=cosx

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Solution for sin^6x-sin^8x=cosx equation:


Simplifying
sin6x + -1sin8x = cosx

Solving
in6sx + -1in8sx = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + in6sx + -1in8sx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + in6sx + -1in8sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1co + in6 + -1in8) = 0

Subproblem 1

Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing i 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 + in6 + -1in8)' equal to zero and attempt to solve: Simplifying -1co + in6 + -1in8 = 0 Solving -1co + in6 + -1in8 = 0 Move all terms containing i to the left, all other terms to the right. Add 'co' to each side of the equation. -1co + in6 + co + -1in8 = 0 + co Reorder the terms: -1co + co + in6 + -1in8 = 0 + co Combine like terms: -1co + co = 0 0 + in6 + -1in8 = 0 + co in6 + -1in8 = 0 + co Remove the zero: in6 + -1in8 = co 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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