# cos(4x)-sin(2x)=1

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## Solution for cos(4x)-sin(2x)=1 equation:

Simplifying
cos(4x) + -1sin(2x) = 1
Remove parenthesis around (4x)
cos * 4x + -1sin(2x) = 1
Reorder the terms for easier multiplication:
4cos * x + -1sin(2x) = 1
Multiply cos * x
4cosx + -1sin(2x) = 1
Remove parenthesis around (2x)
4cosx + -1ins * 2x = 1
Reorder the terms for easier multiplication:
4cosx + -1 * 2ins * x = 1
Multiply -1 * 2
4cosx + -2ins * x = 1
Multiply ins * x
4cosx + -2insx = 1
Solving
4cosx + -2insx = 1
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '2insx' to each side of the equation.
4cosx + -2insx + 2insx = 1 + 2insx
Combine like terms: -2insx + 2insx = 0
4cosx + 0 = 1 + 2insx
4cosx = 1 + 2insx
Divide each side by '4osx'.
c = 0.25o-1s-1x-1 + 0.5ino-1
Simplifying
c = 0.25o-1s-1x-1 + 0.5ino-1
Reorder the terms:
c = 0.5ino-1 + 0.25o-1s-1x-1`