(cosx+sinx)(cosx+sinx)=1

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Solution for (cosx+sinx)(cosx+sinx)=1 equation: 


Simplifying
(cosx + sinx)(cosx + sinx) = 1

Multiply (cosx + insx) * (cosx + insx)
(cosx(cosx + insx) + insx(cosx + insx)) = 1
((cosx * cosx + insx * cosx) + insx(cosx + insx)) = 1

Reorder the terms:
((cinos2x2 + c2o2s2x2) + insx(cosx + insx)) = 1
((cinos2x2 + c2o2s2x2) + insx(cosx + insx)) = 1
(cinos2x2 + c2o2s2x2 + (cosx * insx + insx * insx)) = 1
(cinos2x2 + c2o2s2x2 + (cinos2x2 + i2n2s2x2)) = 1

Reorder the terms:
(cinos2x2 + cinos2x2 + c2o2s2x2 + i2n2s2x2) = 1

Combine like terms: cinos2x2 + cinos2x2 = 2cinos2x2
(2cinos2x2 + c2o2s2x2 + i2n2s2x2) = 1

Solving
2cinos2x2 + c2o2s2x2 + i2n2s2x2 = 1

Solving for variable 'c'.

Reorder the terms:
-1 + 2cinos2x2 + c2o2s2x2 + i2n2s2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 2cinos2x2 + c2o2s2x2 + i2n2s2x2 = 0

The solution to this equation could not be determined.

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