cos(8x)+i*sin(8x)=1

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


Simplifying
cos(8x) + i * sin(8x) = 1

Remove parenthesis around (8x)
cos * 8x + i * sin(8x) = 1

Reorder the terms for easier multiplication:
8cos * x + i * sin(8x) = 1

Multiply cos * x
8cosx + i * sin(8x) = 1

Remove parenthesis around (8x)
8cosx + i * ins * 8x = 1

Reorder the terms for easier multiplication:
8cosx + 8i * ins * x = 1

Multiply i * ins
8cosx + 8i2ns * x = 1

Multiply i2ns * x
8cosx + 8i2nsx = 1

Solving
8cosx + 8i2nsx = 1

Solving for variable 'c'.

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

Add '-8i2nsx' to each side of the equation.
8cosx + 8i2nsx + -8i2nsx = 1 + -8i2nsx

Combine like terms: 8i2nsx + -8i2nsx = 0
8cosx + 0 = 1 + -8i2nsx
8cosx = 1 + -8i2nsx

Divide each side by '8osx'.
c = 0.125o-1s-1x-1 + -1i2no-1

Simplifying
c = 0.125o-1s-1x-1 + -1i2no-1

Reorder the terms:
c = -1i2no-1 + 0.125o-1s-1x-1

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