cos(2x)-sin(2x)=2

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


Simplifying
cos(2x) + -1sin(2x) = 2

Remove parenthesis around (2x)
cos * 2x + -1sin(2x) = 2

Reorder the terms for easier multiplication:
2cos * x + -1sin(2x) = 2

Multiply cos * x
2cosx + -1sin(2x) = 2

Remove parenthesis around (2x)
2cosx + -1ins * 2x = 2

Reorder the terms for easier multiplication:
2cosx + -1 * 2ins * x = 2

Multiply -1 * 2
2cosx + -2ins * x = 2

Multiply ins * x
2cosx + -2insx = 2

Solving
2cosx + -2insx = 2

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.
2cosx + -2insx + 2insx = 2 + 2insx

Combine like terms: -2insx + 2insx = 0
2cosx + 0 = 2 + 2insx
2cosx = 2 + 2insx

Divide each side by '2osx'.
c = o-1s-1x-1 + ino-1

Simplifying
c = o-1s-1x-1 + ino-1

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

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