cosx+sinx+1=cosx-sinx

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Solution for cosx+sinx+1=cosx-sinx equation:


Simplifying
cosx + sinx + 1 = cosx + -1sinx

Reorder the terms:
1 + cosx + insx = cosx + -1sinx

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

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

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

Solving
1 + insx = -1insx

Solving for variable 'i'.

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

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

Combine like terms: insx + insx = 2insx
1 + 2insx = -1insx + insx

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

Add '-1' to each side of the equation.
1 + -1 + 2insx = 0 + -1

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

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

Divide each side by '2nsx'.
i = -0.5n-1s-1x-1

Simplifying
i = -0.5n-1s-1x-1

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