8(sin^8(x)+cos^8(x))=1

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Solution for 8(sin^8(x)+cos^8(x))=1 equation:


Simplifying
8(sin8(x) + cos8(x)) = 1

Multiply in8s * x
8(in8sx + cos8(x)) = 1

Multiply cos8 * x
8(in8sx + cos8x) = 1

Reorder the terms:
8(cos8x + in8sx) = 1
(cos8x * 8 + in8sx * 8) = 1
(8cos8x + 8in8sx) = 1

Solving
8cos8x + 8in8sx = 1

Solving for variable 'c'.

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

Add '-8in8sx' to each side of the equation.
8cos8x + 8in8sx + -8in8sx = 1 + -8in8sx

Combine like terms: 8in8sx + -8in8sx = 0
8cos8x + 0 = 1 + -8in8sx
8cos8x = 1 + -8in8sx

Divide each side by '8os8x'.
c = 0.125o-1s-8x-1 + -1in8o-1s-7

Simplifying
c = 0.125o-1s-8x-1 + -1in8o-1s-7

Reorder the terms:
c = -1in8o-1s-7 + 0.125o-1s-8x-1

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