(cosx+sinx)(cosx-sinx)=2cos^2x-1

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


Simplifying
(cosx + sinx)(cosx + -1sinx) = 2cos2x + -1

Multiply (cosx + insx) * (cosx + -1insx)
(cosx(cosx + -1insx) + insx(cosx + -1insx)) = 2cos2x + -1
((cosx * cosx + -1insx * cosx) + insx(cosx + -1insx)) = 2cos2x + -1

Reorder the terms:
((-1cinos2x2 + c2o2s2x2) + insx(cosx + -1insx)) = 2cos2x + -1
((-1cinos2x2 + c2o2s2x2) + insx(cosx + -1insx)) = 2cos2x + -1
(-1cinos2x2 + c2o2s2x2 + (cosx * insx + -1insx * insx)) = 2cos2x + -1
(-1cinos2x2 + c2o2s2x2 + (cinos2x2 + -1i2n2s2x2)) = 2cos2x + -1

Reorder the terms:
(-1cinos2x2 + cinos2x2 + c2o2s2x2 + -1i2n2s2x2) = 2cos2x + -1

Combine like terms: -1cinos2x2 + cinos2x2 = 0
(0 + c2o2s2x2 + -1i2n2s2x2) = 2cos2x + -1
(c2o2s2x2 + -1i2n2s2x2) = 2cos2x + -1

Reorder the terms:
c2o2s2x2 + -1i2n2s2x2 = -1 + 2cos2x

Solving
c2o2s2x2 + -1i2n2s2x2 = -1 + 2cos2x

Solving for variable 'c'.

Reorder the terms:
1 + -2cos2x + c2o2s2x2 + -1i2n2s2x2 = -1 + 2cos2x + 1 + -2cos2x

Reorder the terms:
1 + -2cos2x + c2o2s2x2 + -1i2n2s2x2 = -1 + 1 + 2cos2x + -2cos2x

Combine like terms: -1 + 1 = 0
1 + -2cos2x + c2o2s2x2 + -1i2n2s2x2 = 0 + 2cos2x + -2cos2x
1 + -2cos2x + c2o2s2x2 + -1i2n2s2x2 = 2cos2x + -2cos2x

Combine like terms: 2cos2x + -2cos2x = 0
1 + -2cos2x + c2o2s2x2 + -1i2n2s2x2 = 0

The solution to this equation could not be determined.

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