1+sinx-cosx-sin(2x)+2cos(2x)=0

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Solution for 1+sinx-cosx-sin(2x)+2cos(2x)=0 equation: 


Simplifying
1 + sinx + -1cosx + -1sin(2x) + 2cos(2x) = 0

Remove parenthesis around (2x)
1 + insx + -1cosx + -1ins * 2x + 2cos(2x) = 0

Reorder the terms for easier multiplication:
1 + insx + -1cosx + -1 * 2ins * x + 2cos(2x) = 0

Multiply -1 * 2
1 + insx + -1cosx + -2ins * x + 2cos(2x) = 0

Multiply ins * x
1 + insx + -1cosx + -2insx + 2cos(2x) = 0

Remove parenthesis around (2x)
1 + insx + -1cosx + -2insx + 2cos * 2x = 0

Reorder the terms for easier multiplication:
1 + insx + -1cosx + -2insx + 2 * 2cos * x = 0

Multiply 2 * 2
1 + insx + -1cosx + -2insx + 4cos * x = 0

Multiply cos * x
1 + insx + -1cosx + -2insx + 4cosx = 0

Reorder the terms:
1 + -1cosx + 4cosx + insx + -2insx = 0

Combine like terms: -1cosx + 4cosx = 3cosx
1 + 3cosx + insx + -2insx = 0

Combine like terms: insx + -2insx = -1insx
1 + 3cosx + -1insx = 0

Solving
1 + 3cosx + -1insx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 3cosx + -1 + -1insx = 0 + -1

Reorder the terms:
1 + -1 + 3cosx + -1insx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3cosx + -1insx = 0 + -1
3cosx + -1insx = 0 + -1

Combine like terms: 0 + -1 = -1
3cosx + -1insx = -1

Add 'insx' to each side of the equation.
3cosx + -1insx + insx = -1 + insx

Combine like terms: -1insx + insx = 0
3cosx + 0 = -1 + insx
3cosx = -1 + insx

Divide each side by '3osx'.
c = -0.3333333333o-1s-1x-1 + 0.3333333333ino-1

Simplifying
c = -0.3333333333o-1s-1x-1 + 0.3333333333ino-1

Reorder the terms:
c = 0.3333333333ino-1 + -0.3333333333o-1s-1x-1

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